Algebraic geometry and its applications :: dedicated to Gilles Lachaud on his 60th birthday : proceedings of the First SAGA Conference, Papeete, France, 7-11 May 2007 /
This volume covers many topics, including number theory, Boolean functions, combinatorial geometry, and algorithms over finite fields. It contains many new, theoretical and applicable results, as well as surveys that were presented by the top specialists in these areas. New results include an answer...
Gespeichert in:
| Körperschaft: | |
|---|---|
| Weitere Verfasser: | , , , |
| Format: | Elektronisch Tagungsbericht E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore, SG :
World Scientific,
©2008.
|
| Schriftenreihe: | Series on number theory and its applications ;
v. 5. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This volume covers many topics, including number theory, Boolean functions, combinatorial geometry, and algorithms over finite fields. It contains many new, theoretical and applicable results, as well as surveys that were presented by the top specialists in these areas. New results include an answer to one of Serre's questions, posted in a letter to Top; cryptographic applications of the discrete logarithm problem related to elliptic curves and hyperelliptic curves; construction of function field towers; construction of new classes of Boolean cryptographic functions; and algorithmic applicati. |
| Beschreibung: | 1 online resource (xv, 513 pages) : illustrations. |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9812793437 9789812793430 1281934275 9781281934277 9786611934279 6611934278 |
| ISSN: | 1793-3161 ; |
Internformat
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-ocn441826906 | ||
| 003 | OCoLC | ||
| 005 | 20241004212047.0 | ||
| 006 | m o d | ||
| 007 | cr zn||||||||| | ||
| 008 | 080222s2008 si a ob 111 0 eng d | ||
| 010 | |z 2008298342 | ||
| 040 | |a MERUC |b eng |e pn |c MERUC |d UBY |d OCLCQ |d N$T |d YDXCP |d CDX |d OCLCQ |d SNK |d OCLCQ |d M6U |d OCLCQ |d OCLCF |d OCLCO |d OCL |d OCLCO |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO |d VTS |d VLY |d AJS |d OCLCO |d DST |d OCLCO |d OCL |d OCLCQ |d INARC |d OCLCO |d OCLCL |d OCLCQ |d OCLCO | ||
| 019 | |a 262623472 |a 696629558 |a 712980403 |a 1162448579 |a 1300574000 |a 1303380103 |a 1303511048 |a 1306544845 |a 1357505698 |a 1443977052 |a 1451827703 | ||
| 020 | |a 9812793437 |q (electronic bk.) | ||
| 020 | |a 9789812793430 |q (electronic bk.) | ||
| 020 | |z 9812793429 |q (Cloth) | ||
| 020 | |z 9789812793423 | ||
| 020 | |a 1281934275 | ||
| 020 | |a 9781281934277 | ||
| 020 | |a 9786611934279 | ||
| 020 | |a 6611934278 | ||
| 035 | |a (OCoLC)441826906 |z (OCoLC)262623472 |z (OCoLC)696629558 |z (OCoLC)712980403 |z (OCoLC)1162448579 |z (OCoLC)1300574000 |z (OCoLC)1303380103 |z (OCoLC)1303511048 |z (OCoLC)1306544845 |z (OCoLC)1357505698 |z (OCoLC)1443977052 |z (OCoLC)1451827703 | ||
| 050 | 4 | |a QA564 |b .S964 2007eb | |
| 072 | 7 | |a MAT |x 012010 |2 bisacsh | |
| 082 | 7 | |a 516.35 22 |2 22 | |
| 049 | |a MAIN | ||
| 111 | 2 | |a Symposium on Algebraic Geometry and its Applications |n (1st : |d 2007 : |c Papeete, Tahiti) | |
| 245 | 1 | 0 | |a Algebraic geometry and its applications : |b dedicated to Gilles Lachaud on his 60th birthday : proceedings of the First SAGA Conference, Papeete, France, 7-11 May 2007 / |c editors, Jean Chaumine, James Hirschfeld, Robert Rolland. |
| 260 | |a Singapore, SG : |b World Scientific, |c ©2008. | ||
| 300 | |a 1 online resource (xv, 513 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Series on number theory and its applications, |x 1793-3161 ; |v v. 5 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a ""CONTENTS""; ""To Gilles Lachaud on the occasion of his 60th birthday R. Rolland, M. Tsfasman""; ""Preface J.-M. Goursaud""; ""Organizing Committees""; ""Fast addition on non-hyperelliptic genus 3 curves S. Flon, R. Oyono, C. Ritzenthaler""; ""Introduction""; ""1. Geometric description of the algorithm""; ""2. Rationality of the points on a canonical divisor""; ""2.1. Structure of the canonical divisor""; ""2.2. The general and tangent case""; ""2.3. The flex case""; ""2.4. The hyperflex case""; ""3. Algebraic description""; ""3.1. Mumford representation and typical divisors"" | |
| 505 | 8 | |a ""3.2. The tangent case""""3.3. Flex case""; ""3.4. Comments on implementation""; ""4. Examples""; ""4.1. AGM-method""; ""4.2. 3-dimensional factors of Jnew(X0(N))""; ""5. Conclusion""; ""6. Appendix""; ""Acknowledgment""; ""References""; ""Computing endomorphism rings of Jacobians of genus 2 curves over finite fields D. Freeman, K.Lauter""; ""1. Introduction""; ""2. Computing zeta functions and the Frobenius element""; ""3. Constructing a generating set for OK""; ""4. Determining fields of definition""; ""4.1. The brute force method""; ""4.2. The Gaudry-Harley-Schost method"" | |
| 505 | 8 | |a ""4.3. A probabilistic method""""5. Computing the action of Frobenius""; ""5.1. The brute force method""; ""5.2. A probabilistic method""; ""5.3. The Couveignes method""; ""6. Bounding the field of definition of the .d-torsion points""; ""7. Computing Igusa class polynomials""; ""8. Implementation notes""; ""9. Examples""; ""References""; ""Complex multiplication and canonical lifts D. Kohel""; ""1. Introduction""; ""2. Complex multiplication""; ""2.1. Complex multiplication in genus 1""; ""2.2. Complex multiplication in higher dimension""; ""3. Canonical lifts"" | |
| 505 | 8 | |a ""3.1. Canonical lifting conditions""""3.2. Canonical lifts as CM constructions""; ""4. Constructive CM algorithms""; ""4.1. Canonical 2-adic AGM algorithm""; ""4.2. Canonical .-adic Richelot lifting algorithm""; ""5. Conclusion""; ""References""; ""Two letters to Jaap Top J.-P. Serre""; ""On some questions of Serre on abelian threefolds G. Lachaud, C. Ritzenthaler""; ""1. Introduction""; ""1.1. Geometric Torelli�s theorem""; ""1.2. Arithmetic Torelli�s theorem""; ""1.3. Serre�s questions""; ""2. Ciani Quartics""; ""2.1. Definition of Ciani quartics"" | |
| 505 | 8 | |a ""2.2. Discriminant of a ternary form""""2.3. Product of elliptic curves""; ""2.4. The theory of Howe, Leprevost and Poonen revisited""; ""2.5. Relation with Serreâ€?s assertion""; ""3. Complex abelian varieties""; ""3.1. The symplectic group""; ""3.2. Abelian varieties""; ""3.3. Isotropy and quotients""; ""3.4. Theta functions""; ""3.5. The modular function Ï?""; ""4. Comparison of analytic and algebraic discriminants""; ""4.1. Expression of the algebraic discriminant""; ""4.2. The subgroup W""; ""4.3. Expression of Ï? ( ′) as a discriminant""; ""Appendix A.""; ""References"" | |
| 520 | |a This volume covers many topics, including number theory, Boolean functions, combinatorial geometry, and algorithms over finite fields. It contains many new, theoretical and applicable results, as well as surveys that were presented by the top specialists in these areas. New results include an answer to one of Serre's questions, posted in a letter to Top; cryptographic applications of the discrete logarithm problem related to elliptic curves and hyperelliptic curves; construction of function field towers; construction of new classes of Boolean cryptographic functions; and algorithmic applicati. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Geometry, Algebraic |v Congresses. | |
| 650 | 0 | |a Mathematics |v Congresses. | |
| 650 | 6 | |a Géométrie algébrique |v Congrès. | |
| 650 | 6 | |a Mathématiques |v Congrès. | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Algebraic. |2 bisacsh | |
| 650 | 7 | |a Mathematics |2 fast | |
| 650 | 7 | |a Geometry, Algebraic |2 fast | |
| 655 | 7 | |a Conference papers and proceedings |2 fast | |
| 700 | 1 | |a Chaumine, Jean. | |
| 700 | 1 | |a Hirschfeld, J. W. P. |q (James William Peter), |d 1940- |1 https://id.oclc.org/worldcat/entity/E39PBJk964cfBXQTGmTTp4gqcP |0 http://id.loc.gov/authorities/names/n81072707 | |
| 700 | 1 | |a Rolland, Robert. | |
| 700 | 1 | |a Lachaud, Gilles. | |
| 776 | 0 | 8 | |i Print version: |a Symposium on Algebraic Geometry and Its Applications (1st : 2007 : Papeete, Tahiti). |t Algebraic geometry and its applications. |d Singapore ; Hackensack, NJ : World Scientific, ©2008 |z 9812793429 |z 9789812793423 |w (DLC) 2008298342 |w (OCoLC)198759703 |
| 830 | 0 | |a Series on number theory and its applications ; |v v. 5. |0 http://id.loc.gov/authorities/names/no2006101776 | |
| 856 | 4 | 0 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=236138 |3 Volltext |
| 936 | |a BATCHLOAD | ||
| 938 | |a Coutts Information Services |b COUT |n 9528682 | ||
| 938 | |a EBSCOhost |b EBSC |n 236138 | ||
| 938 | |a YBP Library Services |b YANK |n 2891990 | ||
| 938 | |a Internet Archive |b INAR |n algebraicgeometr0005symp | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
| 049 | |a DE-863 | ||
Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn441826906 |
|---|---|
| _version_ | 1816881699261251584 |
| adam_text | |
| any_adam_object | |
| author2 | Chaumine, Jean Hirschfeld, J. W. P. (James William Peter), 1940- Rolland, Robert Lachaud, Gilles |
| author2_role | |
| author2_variant | j c jc j w p h jwp jwph r r rr g l gl |
| author_GND | http://id.loc.gov/authorities/names/n81072707 |
| author_corporate | Symposium on Algebraic Geometry and its Applications Papeete, Tahiti |
| author_corporate_role | |
| author_facet | Chaumine, Jean Hirschfeld, J. W. P. (James William Peter), 1940- Rolland, Robert Lachaud, Gilles Symposium on Algebraic Geometry and its Applications Papeete, Tahiti |
| author_sort | Symposium on Algebraic Geometry and its Applications Papeete, Tahiti |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA564 |
| callnumber-raw | QA564 .S964 2007eb |
| callnumber-search | QA564 .S964 2007eb |
| callnumber-sort | QA 3564 S964 42007EB |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | ""CONTENTS""; ""To Gilles Lachaud on the occasion of his 60th birthday R. Rolland, M. Tsfasman""; ""Preface J.-M. Goursaud""; ""Organizing Committees""; ""Fast addition on non-hyperelliptic genus 3 curves S. Flon, R. Oyono, C. Ritzenthaler""; ""Introduction""; ""1. Geometric description of the algorithm""; ""2. Rationality of the points on a canonical divisor""; ""2.1. Structure of the canonical divisor""; ""2.2. The general and tangent case""; ""2.3. The flex case""; ""2.4. The hyperflex case""; ""3. Algebraic description""; ""3.1. Mumford representation and typical divisors"" ""3.2. The tangent case""""3.3. Flex case""; ""3.4. Comments on implementation""; ""4. Examples""; ""4.1. AGM-method""; ""4.2. 3-dimensional factors of Jnew(X0(N))""; ""5. Conclusion""; ""6. Appendix""; ""Acknowledgment""; ""References""; ""Computing endomorphism rings of Jacobians of genus 2 curves over finite fields D. Freeman, K.Lauter""; ""1. Introduction""; ""2. Computing zeta functions and the Frobenius element""; ""3. Constructing a generating set for OK""; ""4. Determining fields of definition""; ""4.1. The brute force method""; ""4.2. The Gaudry-Harley-Schost method"" ""4.3. A probabilistic method""""5. Computing the action of Frobenius""; ""5.1. The brute force method""; ""5.2. A probabilistic method""; ""5.3. The Couveignes method""; ""6. Bounding the field of definition of the .d-torsion points""; ""7. Computing Igusa class polynomials""; ""8. Implementation notes""; ""9. Examples""; ""References""; ""Complex multiplication and canonical lifts D. Kohel""; ""1. Introduction""; ""2. Complex multiplication""; ""2.1. Complex multiplication in genus 1""; ""2.2. Complex multiplication in higher dimension""; ""3. Canonical lifts"" ""3.1. Canonical lifting conditions""""3.2. Canonical lifts as CM constructions""; ""4. Constructive CM algorithms""; ""4.1. Canonical 2-adic AGM algorithm""; ""4.2. Canonical .-adic Richelot lifting algorithm""; ""5. Conclusion""; ""References""; ""Two letters to Jaap Top J.-P. Serre""; ""On some questions of Serre on abelian threefolds G. Lachaud, C. Ritzenthaler""; ""1. Introduction""; ""1.1. Geometric Torelliâ€?s theorem""; ""1.2. Arithmetic Torelliâ€?s theorem""; ""1.3. Serreâ€?s questions""; ""2. Ciani Quartics""; ""2.1. Definition of Ciani quartics"" ""2.2. Discriminant of a ternary form""""2.3. Product of elliptic curves""; ""2.4. The theory of Howe, Leprevost and Poonen revisited""; ""2.5. Relation with Serreâ€?s assertion""; ""3. Complex abelian varieties""; ""3.1. The symplectic group""; ""3.2. Abelian varieties""; ""3.3. Isotropy and quotients""; ""3.4. Theta functions""; ""3.5. The modular function Ï?""; ""4. Comparison of analytic and algebraic discriminants""; ""4.1. Expression of the algebraic discriminant""; ""4.2. The subgroup W""; ""4.3. Expression of Ï? ( ′) as a discriminant""; ""Appendix A.""; ""References"" |
| ctrlnum | (OCoLC)441826906 |
| dewey-full | 516.3522 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.35 22 |
| dewey-search | 516.35 22 |
| dewey-sort | 3516.35 222 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic Conference Proceeding eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>07089cam a2200745 a 4500</leader><controlfield tag="001">ZDB-4-EBA-ocn441826906</controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20241004212047.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr zn|||||||||</controlfield><controlfield tag="008">080222s2008 si a ob 111 0 eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="z"> 2008298342</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">MERUC</subfield><subfield code="b">eng</subfield><subfield code="e">pn</subfield><subfield code="c">MERUC</subfield><subfield code="d">UBY</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">N$T</subfield><subfield code="d">YDXCP</subfield><subfield code="d">CDX</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">SNK</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">M6U</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCF</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCL</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">VTS</subfield><subfield code="d">VLY</subfield><subfield code="d">AJS</subfield><subfield code="d">OCLCO</subfield><subfield code="d">DST</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">INARC</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">262623472</subfield><subfield code="a">696629558</subfield><subfield code="a">712980403</subfield><subfield code="a">1162448579</subfield><subfield code="a">1300574000</subfield><subfield code="a">1303380103</subfield><subfield code="a">1303511048</subfield><subfield code="a">1306544845</subfield><subfield code="a">1357505698</subfield><subfield code="a">1443977052</subfield><subfield code="a">1451827703</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9812793437</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789812793430</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9812793429</subfield><subfield code="q">(Cloth)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9789812793423</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1281934275</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781281934277</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9786611934279</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">6611934278</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)441826906</subfield><subfield code="z">(OCoLC)262623472</subfield><subfield code="z">(OCoLC)696629558</subfield><subfield code="z">(OCoLC)712980403</subfield><subfield code="z">(OCoLC)1162448579</subfield><subfield code="z">(OCoLC)1300574000</subfield><subfield code="z">(OCoLC)1303380103</subfield><subfield code="z">(OCoLC)1303511048</subfield><subfield code="z">(OCoLC)1306544845</subfield><subfield code="z">(OCoLC)1357505698</subfield><subfield code="z">(OCoLC)1443977052</subfield><subfield code="z">(OCoLC)1451827703</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA564</subfield><subfield code="b">.S964 2007eb</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">012010</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">516.35 22</subfield><subfield code="2">22</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="111" ind1="2" ind2=" "><subfield code="a">Symposium on Algebraic Geometry and its Applications</subfield><subfield code="n">(1st :</subfield><subfield code="d">2007 :</subfield><subfield code="c">Papeete, Tahiti)</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Algebraic geometry and its applications :</subfield><subfield code="b">dedicated to Gilles Lachaud on his 60th birthday : proceedings of the First SAGA Conference, Papeete, France, 7-11 May 2007 /</subfield><subfield code="c">editors, Jean Chaumine, James Hirschfeld, Robert Rolland.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">Singapore, SG :</subfield><subfield code="b">World Scientific,</subfield><subfield code="c">©2008.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xv, 513 pages) :</subfield><subfield code="b">illustrations.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Series on number theory and its applications,</subfield><subfield code="x">1793-3161 ;</subfield><subfield code="v">v. 5</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">""CONTENTS""; ""To Gilles Lachaud on the occasion of his 60th birthday R. Rolland, M. Tsfasman""; ""Preface J.-M. Goursaud""; ""Organizing Committees""; ""Fast addition on non-hyperelliptic genus 3 curves S. Flon, R. Oyono, C. Ritzenthaler""; ""Introduction""; ""1. Geometric description of the algorithm""; ""2. Rationality of the points on a canonical divisor""; ""2.1. Structure of the canonical divisor""; ""2.2. The general and tangent case""; ""2.3. The flex case""; ""2.4. The hyperflex case""; ""3. Algebraic description""; ""3.1. Mumford representation and typical divisors""</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">""3.2. The tangent case""""3.3. Flex case""; ""3.4. Comments on implementation""; ""4. Examples""; ""4.1. AGM-method""; ""4.2. 3-dimensional factors of Jnew(X0(N))""; ""5. Conclusion""; ""6. Appendix""; ""Acknowledgment""; ""References""; ""Computing endomorphism rings of Jacobians of genus 2 curves over finite fields D. Freeman, K.Lauter""; ""1. Introduction""; ""2. Computing zeta functions and the Frobenius element""; ""3. Constructing a generating set for OK""; ""4. Determining fields of definition""; ""4.1. The brute force method""; ""4.2. The Gaudry-Harley-Schost method""</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">""4.3. A probabilistic method""""5. Computing the action of Frobenius""; ""5.1. The brute force method""; ""5.2. A probabilistic method""; ""5.3. The Couveignes method""; ""6. Bounding the field of definition of the .d-torsion points""; ""7. Computing Igusa class polynomials""; ""8. Implementation notes""; ""9. Examples""; ""References""; ""Complex multiplication and canonical lifts D. Kohel""; ""1. Introduction""; ""2. Complex multiplication""; ""2.1. Complex multiplication in genus 1""; ""2.2. Complex multiplication in higher dimension""; ""3. Canonical lifts""</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">""3.1. Canonical lifting conditions""""3.2. Canonical lifts as CM constructions""; ""4. Constructive CM algorithms""; ""4.1. Canonical 2-adic AGM algorithm""; ""4.2. Canonical .-adic Richelot lifting algorithm""; ""5. Conclusion""; ""References""; ""Two letters to Jaap Top J.-P. Serre""; ""On some questions of Serre on abelian threefolds G. Lachaud, C. Ritzenthaler""; ""1. Introduction""; ""1.1. Geometric Torelliâ€?s theorem""; ""1.2. Arithmetic Torelliâ€?s theorem""; ""1.3. Serreâ€?s questions""; ""2. Ciani Quartics""; ""2.1. Definition of Ciani quartics""</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">""2.2. Discriminant of a ternary form""""2.3. Product of elliptic curves""; ""2.4. The theory of Howe, Leprevost and Poonen revisited""; ""2.5. Relation with Serreâ€?s assertion""; ""3. Complex abelian varieties""; ""3.1. The symplectic group""; ""3.2. Abelian varieties""; ""3.3. Isotropy and quotients""; ""3.4. Theta functions""; ""3.5. The modular function Ï?""; ""4. Comparison of analytic and algebraic discriminants""; ""4.1. Expression of the algebraic discriminant""; ""4.2. The subgroup W""; ""4.3. Expression of Ï? ( ′) as a discriminant""; ""Appendix A.""; ""References""</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This volume covers many topics, including number theory, Boolean functions, combinatorial geometry, and algorithms over finite fields. It contains many new, theoretical and applicable results, as well as surveys that were presented by the top specialists in these areas. New results include an answer to one of Serre's questions, posted in a letter to Top; cryptographic applications of the discrete logarithm problem related to elliptic curves and hyperelliptic curves; construction of function field towers; construction of new classes of Boolean cryptographic functions; and algorithmic applicati.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">English.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Geometry, Algebraic</subfield><subfield code="v">Congresses.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Mathematics</subfield><subfield code="v">Congresses.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Géométrie algébrique</subfield><subfield code="v">Congrès.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Mathématiques</subfield><subfield code="v">Congrès.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Geometry</subfield><subfield code="x">Algebraic.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mathematics</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Geometry, Algebraic</subfield><subfield code="2">fast</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">Conference papers and proceedings</subfield><subfield code="2">fast</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Chaumine, Jean.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hirschfeld, J. W. P.</subfield><subfield code="q">(James William Peter),</subfield><subfield code="d">1940-</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PBJk964cfBXQTGmTTp4gqcP</subfield><subfield code="0">http://id.loc.gov/authorities/names/n81072707</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Rolland, Robert.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lachaud, Gilles.</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Symposium on Algebraic Geometry and Its Applications (1st : 2007 : Papeete, Tahiti).</subfield><subfield code="t">Algebraic geometry and its applications.</subfield><subfield code="d">Singapore ; Hackensack, NJ : World Scientific, ©2008</subfield><subfield code="z">9812793429</subfield><subfield code="z">9789812793423</subfield><subfield code="w">(DLC) 2008298342</subfield><subfield code="w">(OCoLC)198759703</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Series on number theory and its applications ;</subfield><subfield code="v">v. 5.</subfield><subfield code="0">http://id.loc.gov/authorities/names/no2006101776</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=236138</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="936" ind1=" " ind2=" "><subfield code="a">BATCHLOAD</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Coutts Information Services</subfield><subfield code="b">COUT</subfield><subfield code="n">9528682</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">236138</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">2891990</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Internet Archive</subfield><subfield code="b">INAR</subfield><subfield code="n">algebraicgeometr0005symp</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
| genre | Conference papers and proceedings fast |
| genre_facet | Conference papers and proceedings |
| id | ZDB-4-EBA-ocn441826906 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:52Z |
| institution | BVB |
| isbn | 9812793437 9789812793430 1281934275 9781281934277 9786611934279 6611934278 |
| issn | 1793-3161 ; |
| language | English |
| oclc_num | 441826906 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xv, 513 pages) : illustrations. |
| psigel | ZDB-4-EBA |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | World Scientific, |
| record_format | marc |
| series | Series on number theory and its applications ; |
| series2 | Series on number theory and its applications, |
| spelling | Symposium on Algebraic Geometry and its Applications (1st : 2007 : Papeete, Tahiti) Algebraic geometry and its applications : dedicated to Gilles Lachaud on his 60th birthday : proceedings of the First SAGA Conference, Papeete, France, 7-11 May 2007 / editors, Jean Chaumine, James Hirschfeld, Robert Rolland. Singapore, SG : World Scientific, ©2008. 1 online resource (xv, 513 pages) : illustrations. text txt rdacontent computer c rdamedia online resource cr rdacarrier Series on number theory and its applications, 1793-3161 ; v. 5 Includes bibliographical references and index. Print version record. ""CONTENTS""; ""To Gilles Lachaud on the occasion of his 60th birthday R. Rolland, M. Tsfasman""; ""Preface J.-M. Goursaud""; ""Organizing Committees""; ""Fast addition on non-hyperelliptic genus 3 curves S. Flon, R. Oyono, C. Ritzenthaler""; ""Introduction""; ""1. Geometric description of the algorithm""; ""2. Rationality of the points on a canonical divisor""; ""2.1. Structure of the canonical divisor""; ""2.2. The general and tangent case""; ""2.3. The flex case""; ""2.4. The hyperflex case""; ""3. Algebraic description""; ""3.1. Mumford representation and typical divisors"" ""3.2. The tangent case""""3.3. Flex case""; ""3.4. Comments on implementation""; ""4. Examples""; ""4.1. AGM-method""; ""4.2. 3-dimensional factors of Jnew(X0(N))""; ""5. Conclusion""; ""6. Appendix""; ""Acknowledgment""; ""References""; ""Computing endomorphism rings of Jacobians of genus 2 curves over finite fields D. Freeman, K.Lauter""; ""1. Introduction""; ""2. Computing zeta functions and the Frobenius element""; ""3. Constructing a generating set for OK""; ""4. Determining fields of definition""; ""4.1. The brute force method""; ""4.2. The Gaudry-Harley-Schost method"" ""4.3. A probabilistic method""""5. Computing the action of Frobenius""; ""5.1. The brute force method""; ""5.2. A probabilistic method""; ""5.3. The Couveignes method""; ""6. Bounding the field of definition of the .d-torsion points""; ""7. Computing Igusa class polynomials""; ""8. Implementation notes""; ""9. Examples""; ""References""; ""Complex multiplication and canonical lifts D. Kohel""; ""1. Introduction""; ""2. Complex multiplication""; ""2.1. Complex multiplication in genus 1""; ""2.2. Complex multiplication in higher dimension""; ""3. Canonical lifts"" ""3.1. Canonical lifting conditions""""3.2. Canonical lifts as CM constructions""; ""4. Constructive CM algorithms""; ""4.1. Canonical 2-adic AGM algorithm""; ""4.2. Canonical .-adic Richelot lifting algorithm""; ""5. Conclusion""; ""References""; ""Two letters to Jaap Top J.-P. Serre""; ""On some questions of Serre on abelian threefolds G. Lachaud, C. Ritzenthaler""; ""1. Introduction""; ""1.1. Geometric Torelliâ€?s theorem""; ""1.2. Arithmetic Torelliâ€?s theorem""; ""1.3. Serreâ€?s questions""; ""2. Ciani Quartics""; ""2.1. Definition of Ciani quartics"" ""2.2. Discriminant of a ternary form""""2.3. Product of elliptic curves""; ""2.4. The theory of Howe, Leprevost and Poonen revisited""; ""2.5. Relation with Serreâ€?s assertion""; ""3. Complex abelian varieties""; ""3.1. The symplectic group""; ""3.2. Abelian varieties""; ""3.3. Isotropy and quotients""; ""3.4. Theta functions""; ""3.5. The modular function Ï?""; ""4. Comparison of analytic and algebraic discriminants""; ""4.1. Expression of the algebraic discriminant""; ""4.2. The subgroup W""; ""4.3. Expression of Ï? ( ′) as a discriminant""; ""Appendix A.""; ""References"" This volume covers many topics, including number theory, Boolean functions, combinatorial geometry, and algorithms over finite fields. It contains many new, theoretical and applicable results, as well as surveys that were presented by the top specialists in these areas. New results include an answer to one of Serre's questions, posted in a letter to Top; cryptographic applications of the discrete logarithm problem related to elliptic curves and hyperelliptic curves; construction of function field towers; construction of new classes of Boolean cryptographic functions; and algorithmic applicati. English. Geometry, Algebraic Congresses. Mathematics Congresses. Géométrie algébrique Congrès. Mathématiques Congrès. MATHEMATICS Geometry Algebraic. bisacsh Mathematics fast Geometry, Algebraic fast Conference papers and proceedings fast Chaumine, Jean. Hirschfeld, J. W. P. (James William Peter), 1940- https://id.oclc.org/worldcat/entity/E39PBJk964cfBXQTGmTTp4gqcP http://id.loc.gov/authorities/names/n81072707 Rolland, Robert. Lachaud, Gilles. Print version: Symposium on Algebraic Geometry and Its Applications (1st : 2007 : Papeete, Tahiti). Algebraic geometry and its applications. Singapore ; Hackensack, NJ : World Scientific, ©2008 9812793429 9789812793423 (DLC) 2008298342 (OCoLC)198759703 Series on number theory and its applications ; v. 5. http://id.loc.gov/authorities/names/no2006101776 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=236138 Volltext |
| spellingShingle | Algebraic geometry and its applications : dedicated to Gilles Lachaud on his 60th birthday : proceedings of the First SAGA Conference, Papeete, France, 7-11 May 2007 / Series on number theory and its applications ; ""CONTENTS""; ""To Gilles Lachaud on the occasion of his 60th birthday R. Rolland, M. Tsfasman""; ""Preface J.-M. Goursaud""; ""Organizing Committees""; ""Fast addition on non-hyperelliptic genus 3 curves S. Flon, R. Oyono, C. Ritzenthaler""; ""Introduction""; ""1. Geometric description of the algorithm""; ""2. Rationality of the points on a canonical divisor""; ""2.1. Structure of the canonical divisor""; ""2.2. The general and tangent case""; ""2.3. The flex case""; ""2.4. The hyperflex case""; ""3. Algebraic description""; ""3.1. Mumford representation and typical divisors"" ""3.2. The tangent case""""3.3. Flex case""; ""3.4. Comments on implementation""; ""4. Examples""; ""4.1. AGM-method""; ""4.2. 3-dimensional factors of Jnew(X0(N))""; ""5. Conclusion""; ""6. Appendix""; ""Acknowledgment""; ""References""; ""Computing endomorphism rings of Jacobians of genus 2 curves over finite fields D. Freeman, K.Lauter""; ""1. Introduction""; ""2. Computing zeta functions and the Frobenius element""; ""3. Constructing a generating set for OK""; ""4. Determining fields of definition""; ""4.1. The brute force method""; ""4.2. The Gaudry-Harley-Schost method"" ""4.3. A probabilistic method""""5. Computing the action of Frobenius""; ""5.1. The brute force method""; ""5.2. A probabilistic method""; ""5.3. The Couveignes method""; ""6. Bounding the field of definition of the .d-torsion points""; ""7. Computing Igusa class polynomials""; ""8. Implementation notes""; ""9. Examples""; ""References""; ""Complex multiplication and canonical lifts D. Kohel""; ""1. Introduction""; ""2. Complex multiplication""; ""2.1. Complex multiplication in genus 1""; ""2.2. Complex multiplication in higher dimension""; ""3. Canonical lifts"" ""3.1. Canonical lifting conditions""""3.2. Canonical lifts as CM constructions""; ""4. Constructive CM algorithms""; ""4.1. Canonical 2-adic AGM algorithm""; ""4.2. Canonical .-adic Richelot lifting algorithm""; ""5. Conclusion""; ""References""; ""Two letters to Jaap Top J.-P. Serre""; ""On some questions of Serre on abelian threefolds G. Lachaud, C. Ritzenthaler""; ""1. Introduction""; ""1.1. Geometric Torelliâ€?s theorem""; ""1.2. Arithmetic Torelliâ€?s theorem""; ""1.3. Serreâ€?s questions""; ""2. Ciani Quartics""; ""2.1. Definition of Ciani quartics"" ""2.2. Discriminant of a ternary form""""2.3. Product of elliptic curves""; ""2.4. The theory of Howe, Leprevost and Poonen revisited""; ""2.5. Relation with Serreâ€?s assertion""; ""3. Complex abelian varieties""; ""3.1. The symplectic group""; ""3.2. Abelian varieties""; ""3.3. Isotropy and quotients""; ""3.4. Theta functions""; ""3.5. The modular function Ï?""; ""4. Comparison of analytic and algebraic discriminants""; ""4.1. Expression of the algebraic discriminant""; ""4.2. The subgroup W""; ""4.3. Expression of Ï? ( ′) as a discriminant""; ""Appendix A.""; ""References"" Geometry, Algebraic Congresses. Mathematics Congresses. Géométrie algébrique Congrès. Mathématiques Congrès. MATHEMATICS Geometry Algebraic. bisacsh Mathematics fast Geometry, Algebraic fast |
| title | Algebraic geometry and its applications : dedicated to Gilles Lachaud on his 60th birthday : proceedings of the First SAGA Conference, Papeete, France, 7-11 May 2007 / |
| title_auth | Algebraic geometry and its applications : dedicated to Gilles Lachaud on his 60th birthday : proceedings of the First SAGA Conference, Papeete, France, 7-11 May 2007 / |
| title_exact_search | Algebraic geometry and its applications : dedicated to Gilles Lachaud on his 60th birthday : proceedings of the First SAGA Conference, Papeete, France, 7-11 May 2007 / |
| title_full | Algebraic geometry and its applications : dedicated to Gilles Lachaud on his 60th birthday : proceedings of the First SAGA Conference, Papeete, France, 7-11 May 2007 / editors, Jean Chaumine, James Hirschfeld, Robert Rolland. |
| title_fullStr | Algebraic geometry and its applications : dedicated to Gilles Lachaud on his 60th birthday : proceedings of the First SAGA Conference, Papeete, France, 7-11 May 2007 / editors, Jean Chaumine, James Hirschfeld, Robert Rolland. |
| title_full_unstemmed | Algebraic geometry and its applications : dedicated to Gilles Lachaud on his 60th birthday : proceedings of the First SAGA Conference, Papeete, France, 7-11 May 2007 / editors, Jean Chaumine, James Hirschfeld, Robert Rolland. |
| title_short | Algebraic geometry and its applications : |
| title_sort | algebraic geometry and its applications dedicated to gilles lachaud on his 60th birthday proceedings of the first saga conference papeete france 7 11 may 2007 |
| title_sub | dedicated to Gilles Lachaud on his 60th birthday : proceedings of the First SAGA Conference, Papeete, France, 7-11 May 2007 / |
| topic | Geometry, Algebraic Congresses. Mathematics Congresses. Géométrie algébrique Congrès. Mathématiques Congrès. MATHEMATICS Geometry Algebraic. bisacsh Mathematics fast Geometry, Algebraic fast |
| topic_facet | Geometry, Algebraic Congresses. Mathematics Congresses. Géométrie algébrique Congrès. Mathématiques Congrès. MATHEMATICS Geometry Algebraic. Mathematics Geometry, Algebraic Conference papers and proceedings |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=236138 |
| work_keys_str_mv | AT symposiumonalgebraicgeometryanditsapplicationspapeetetahiti algebraicgeometryanditsapplicationsdedicatedtogilleslachaudonhis60thbirthdayproceedingsofthefirstsagaconferencepapeetefrance711may2007 AT chauminejean algebraicgeometryanditsapplicationsdedicatedtogilleslachaudonhis60thbirthdayproceedingsofthefirstsagaconferencepapeetefrance711may2007 AT hirschfeldjwp algebraicgeometryanditsapplicationsdedicatedtogilleslachaudonhis60thbirthdayproceedingsofthefirstsagaconferencepapeetefrance711may2007 AT rollandrobert algebraicgeometryanditsapplicationsdedicatedtogilleslachaudonhis60thbirthdayproceedingsofthefirstsagaconferencepapeetefrance711may2007 AT lachaudgilles algebraicgeometryanditsapplicationsdedicatedtogilleslachaudonhis60thbirthdayproceedingsofthefirstsagaconferencepapeetefrance711may2007 |