Intersections of Hirzebruch-Zagier divisors and CM cycles:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2012
|
| Series: | Lecture notes in mathematics
2041 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | VIII, 140 S. 235 mm x 155 mm |
| ISBN: | 9783642239786 3642239781 9783642239793 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV039841085 | ||
| 003 | DE-604 | ||
| 005 | 20120628 | ||
| 007 | t | ||
| 008 | 120125s2012 |||| 00||| eng d | ||
| 016 | 7 | |a 1014250161 |2 DE-101 | |
| 020 | |a 9783642239786 |9 978-3-642-23978-6 | ||
| 020 | |a 3642239781 |9 3-642-23978-1 | ||
| 020 | |a 9783642239793 |c eISBN |9 978-3-642-23979-3 | ||
| 035 | |a (OCoLC)773881968 | ||
| 035 | |a (DE-599)DNB1014250161 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G |a DE-824 |a DE-83 |a DE-188 |a DE-11 | ||
| 082 | 0 | |a 516.35 |2 22//ger | |
| 084 | |a SI 850 |0 (DE-625)143199: |2 rvk | ||
| 084 | |a MAT 144f |2 stub | ||
| 084 | |a MAT 103f |2 stub | ||
| 084 | |a 14G40 |2 msc | ||
| 084 | |a 11G15 |2 msc | ||
| 084 | |a 11F41 |2 msc | ||
| 084 | |a 510 |2 sdnb | ||
| 100 | 1 | |a Howard, Benjamin |e Verfasser |0 (DE-588)1019189878 |4 aut | |
| 245 | 1 | 0 | |a Intersections of Hirzebruch-Zagier divisors and CM cycles |c Benjamin Howard ; Tonghai Yang |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2012 | |
| 300 | |a VIII, 140 S. |c 235 mm x 155 mm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 2041 | |
| 650 | 0 | 7 | |a Hilbertsche Modulfläche |0 (DE-588)4159854-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Fourier-Koeffizient |0 (DE-588)4155106-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Eisenstein-Reihe |0 (DE-588)4131762-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Arakelov-Schnitttheorie |0 (DE-588)4206762-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Arakelov-Schnitttheorie |0 (DE-588)4206762-5 |D s |
| 689 | 0 | 1 | |a Hilbertsche Modulfläche |0 (DE-588)4159854-4 |D s |
| 689 | 0 | 2 | |a Eisenstein-Reihe |0 (DE-588)4131762-2 |D s |
| 689 | 0 | 3 | |a Fourier-Koeffizient |0 (DE-588)4155106-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Yang, Tonghai |d 1963- |e Verfasser |0 (DE-588)140463003 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |t Intersections of Hirzebruch-Zagier divisors and CM cycles |
| 830 | 0 | |a Lecture notes in mathematics |v 2041 |w (DE-604)BV000676446 |9 2041 | |
| 856 | 4 | 2 | |m X:MVB |q text/html |u http://deposit.dnb.de/cgi-bin/dokserv?id=3866351&prov=M&dok_var=1&dok_ext=htm |3 Inhaltstext |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024700985&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-024700985 | |
Record in the Search Index
| _version_ | 1805145945880395776 |
|---|---|
| adam_text |
IMAGE 1
CONTENTS
1 INTRODUCTION 1
1.1 THE SET-UP 1
1.2 THE THEOREMS 4
1.3 SPECULATION AND OPEN QUESTIONS 7
1.4 PERMANENT NOTATION 9
2 LINEAR ALGEBRA 11
2.1 THE REFLEX ALGEBRA 11
2.2 POLARIZED RM MODULES 13
2.3 POLARIZED CM MODULES 15
2.4 ALGEBRAIC GROUPS AND CLASS GROUPS 18
3 MODULI SPACES OF ABELIAN SURFACES 25
3.1 ABELIAN SURFACES WITH REAL MULTIPLICATION 25
3.2 ABELIAN SURFACES WITH COMPLEX MULTIPLICATION 30
3.3 MODULI SPACES 36
4 EISENSTEIN SERIES 43
4.1 GENERAL CONSTRUCTIONS 43
4.2 THE WEIL REPRESENTATION 46
4.3 COHERENT AND INCOHERENT EISENSTEIN SERIES 48
4.4 CM ABELIAN SURFACES AND COHERENT EISENSTEIN SERIES 50
4.5 CM MODULES AND (IN)COHERENT EISENSTEIN SERIES 52
4.6 LOCAL WHITTAKER FUNCTIONS 56
5 THE MAIN RESULTS 65
5. 1 DEGREES OF ZERO CYCLES 65
5.2 PROOF OF THEOREM 5.1.1 67
5.3 CLASSES IN CH'(CM R ) AND GREEN FUNCTIONS 72
5.4 ARITHMETIC INTERSECTIONS 82
6 LOCAL CALCULATIONS 85
6. 1 EXTENDED DIEUDONNE MODULES 86
6.2 DEFORMATION THEORY 92
VII
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1014250161
DIGITALISIERT DURCH
IMAGE 2
VIN CONTENTS
6.3 STRATEGY 96
6.4 THE QUADRATIC CASE, PART 1 98
6.5 THE QUADRATIC CASE, PART II 107
6.6 THE CYCLIC QUARTIC CASE 112
6.7 THE KLEIN FOUR CASE, PART 1 121
6.8 THE KLEIN FOUR CASE, PART II 127
REFERENCES 135
INDEX 139 |
| any_adam_object | 1 |
| author | Howard, Benjamin Yang, Tonghai 1963- |
| author_GND | (DE-588)1019189878 (DE-588)140463003 |
| author_facet | Howard, Benjamin Yang, Tonghai 1963- |
| author_role | aut aut |
| author_sort | Howard, Benjamin |
| author_variant | b h bh t y ty |
| building | Verbundindex |
| bvnumber | BV039841085 |
| classification_rvk | SI 850 |
| classification_tum | MAT 144f MAT 103f |
| ctrlnum | (OCoLC)773881968 (DE-599)DNB1014250161 |
| dewey-full | 516.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.35 |
| dewey-search | 516.35 |
| dewey-sort | 3516.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV039841085</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20120628</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">120125s2012 |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">1014250161</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642239786</subfield><subfield code="9">978-3-642-23978-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3642239781</subfield><subfield code="9">3-642-23978-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642239793</subfield><subfield code="c">eISBN</subfield><subfield code="9">978-3-642-23979-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)773881968</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB1014250161</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.35</subfield><subfield code="2">22//ger</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 850</subfield><subfield code="0">(DE-625)143199:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 144f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 103f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">14G40</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">11G15</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">11F41</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Howard, Benjamin</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1019189878</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Intersections of Hirzebruch-Zagier divisors and CM cycles</subfield><subfield code="c">Benjamin Howard ; Tonghai Yang</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2012</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 140 S.</subfield><subfield code="c">235 mm x 155 mm</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">2041</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Hilbertsche Modulfläche</subfield><subfield code="0">(DE-588)4159854-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Fourier-Koeffizient</subfield><subfield code="0">(DE-588)4155106-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Eisenstein-Reihe</subfield><subfield code="0">(DE-588)4131762-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Arakelov-Schnitttheorie</subfield><subfield code="0">(DE-588)4206762-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Arakelov-Schnitttheorie</subfield><subfield code="0">(DE-588)4206762-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Hilbertsche Modulfläche</subfield><subfield code="0">(DE-588)4159854-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Eisenstein-Reihe</subfield><subfield code="0">(DE-588)4131762-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Fourier-Koeffizient</subfield><subfield code="0">(DE-588)4155106-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Yang, Tonghai</subfield><subfield code="d">1963-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)140463003</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="t">Intersections of Hirzebruch-Zagier divisors and CM cycles</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">2041</subfield><subfield code="w">(DE-604)BV000676446</subfield><subfield code="9">2041</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">X:MVB</subfield><subfield code="q">text/html</subfield><subfield code="u">http://deposit.dnb.de/cgi-bin/dokserv?id=3866351&prov=M&dok_var=1&dok_ext=htm</subfield><subfield code="3">Inhaltstext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024700985&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-024700985</subfield></datafield></record></collection> |
| id | DE-604.BV039841085 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-21T00:22:05Z |
| institution | BVB |
| isbn | 9783642239786 3642239781 9783642239793 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024700985 |
| oclc_num | 773881968 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-824 DE-83 DE-188 DE-11 |
| owner_facet | DE-91G DE-BY-TUM DE-824 DE-83 DE-188 DE-11 |
| physical | VIII, 140 S. 235 mm x 155 mm |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Howard, Benjamin Verfasser (DE-588)1019189878 aut Intersections of Hirzebruch-Zagier divisors and CM cycles Benjamin Howard ; Tonghai Yang Berlin [u.a.] Springer 2012 VIII, 140 S. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 2041 Hilbertsche Modulfläche (DE-588)4159854-4 gnd rswk-swf Fourier-Koeffizient (DE-588)4155106-0 gnd rswk-swf Eisenstein-Reihe (DE-588)4131762-2 gnd rswk-swf Arakelov-Schnitttheorie (DE-588)4206762-5 gnd rswk-swf Arakelov-Schnitttheorie (DE-588)4206762-5 s Hilbertsche Modulfläche (DE-588)4159854-4 s Eisenstein-Reihe (DE-588)4131762-2 s Fourier-Koeffizient (DE-588)4155106-0 s DE-604 Yang, Tonghai 1963- Verfasser (DE-588)140463003 aut Erscheint auch als Online-Ausgabe Intersections of Hirzebruch-Zagier divisors and CM cycles Lecture notes in mathematics 2041 (DE-604)BV000676446 2041 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3866351&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024700985&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Howard, Benjamin Yang, Tonghai 1963- Intersections of Hirzebruch-Zagier divisors and CM cycles Lecture notes in mathematics Hilbertsche Modulfläche (DE-588)4159854-4 gnd Fourier-Koeffizient (DE-588)4155106-0 gnd Eisenstein-Reihe (DE-588)4131762-2 gnd Arakelov-Schnitttheorie (DE-588)4206762-5 gnd |
| subject_GND | (DE-588)4159854-4 (DE-588)4155106-0 (DE-588)4131762-2 (DE-588)4206762-5 |
| title | Intersections of Hirzebruch-Zagier divisors and CM cycles |
| title_auth | Intersections of Hirzebruch-Zagier divisors and CM cycles |
| title_exact_search | Intersections of Hirzebruch-Zagier divisors and CM cycles |
| title_full | Intersections of Hirzebruch-Zagier divisors and CM cycles Benjamin Howard ; Tonghai Yang |
| title_fullStr | Intersections of Hirzebruch-Zagier divisors and CM cycles Benjamin Howard ; Tonghai Yang |
| title_full_unstemmed | Intersections of Hirzebruch-Zagier divisors and CM cycles Benjamin Howard ; Tonghai Yang |
| title_short | Intersections of Hirzebruch-Zagier divisors and CM cycles |
| title_sort | intersections of hirzebruch zagier divisors and cm cycles |
| topic | Hilbertsche Modulfläche (DE-588)4159854-4 gnd Fourier-Koeffizient (DE-588)4155106-0 gnd Eisenstein-Reihe (DE-588)4131762-2 gnd Arakelov-Schnitttheorie (DE-588)4206762-5 gnd |
| topic_facet | Hilbertsche Modulfläche Fourier-Koeffizient Eisenstein-Reihe Arakelov-Schnitttheorie |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3866351&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024700985&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT howardbenjamin intersectionsofhirzebruchzagierdivisorsandcmcycles AT yangtonghai intersectionsofhirzebruchzagierdivisorsandcmcycles |