The Beilinson complex and canonical rings of irregular surfaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Mathematical Society
2006
|
| Series: | Memoirs of the American Mathematical Society
862 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 183, number 862 (second of 4 numbers)." Includes bibliographical references |
| Physical Description: | VII, 99 S. |
| ISBN: | 0821841939 9780821841938 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV021743825 | ||
| 003 | DE-604 | ||
| 005 | 20150326 | ||
| 007 | t | ||
| 008 | 060926s2006 xxu |||| 00||| eng d | ||
| 010 | |a 2006045732 | ||
| 020 | |a 0821841939 |9 0-8218-4193-9 | ||
| 020 | |a 9780821841938 |9 978-0-8218-4193-8 | ||
| 035 | |a (OCoLC)68192598 | ||
| 035 | |a (DE-599)BVBBV021743825 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c US | ||
| 049 | |a DE-355 |a DE-29T |a DE-11 |a DE-188 |a DE-83 | ||
| 050 | 0 | |a QA3 | |
| 050 | 0 | |a QA564 | |
| 082 | 0 | |a 510 s | |
| 082 | 0 | |a 516.3/5 |2 22 | |
| 082 | 0 | |a 516.3/5 | |
| 082 | 0 | |a 510 |2 22 | |
| 100 | 1 | |a Canonaco, Alberto |d 1973- |e Verfasser |0 (DE-588)173861318 |4 aut | |
| 245 | 1 | 0 | |a The Beilinson complex and canonical rings of irregular surfaces |c Alberto Canonaco |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2006 | |
| 300 | |a VII, 99 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society |v 862 | |
| 500 | |a "Volume 183, number 862 (second of 4 numbers)." | ||
| 500 | |a Includes bibliographical references | ||
| 650 | 7 | |a Abelse subgroepen |2 gtt | |
| 650 | 7 | |a Algebraïsche meetkunde |2 gtt | |
| 650 | 7 | |a Anéis e álgebras comutativos |2 larpcal | |
| 650 | 7 | |a Categorias abelianas |2 larpcal | |
| 650 | 7 | |a Commutatieve ringen |2 gtt | |
| 650 | 7 | |a Espaços projetivos |2 larpcal | |
| 650 | 7 | |a Projectieve ruimten |2 gtt | |
| 650 | 4 | |a Schemes (Algebraic geometry) | |
| 650 | 4 | |a Projective spaces | |
| 650 | 4 | |a Geometry, Algebraic | |
| 650 | 4 | |a Commutative rings | |
| 650 | 4 | |a Abelian categories | |
| 650 | 0 | 7 | |a Projektiver Raum |0 (DE-588)4175893-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Abelsche Kategorie |0 (DE-588)4140991-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Projektiver Raum |0 (DE-588)4175893-6 |D s |
| 689 | 0 | 1 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Abelsche Kategorie |0 (DE-588)4140991-7 |D s |
| 689 | 1 | 1 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |D s |
| 689 | 1 | |C b |5 DE-604 | |
| 830 | 0 | |a Memoirs of the American Mathematical Society |v 862 |w (DE-604)BV008000141 |9 862 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014957152&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-014957152 | ||
Record in the Search Index
| _version_ | 1804135597114130432 |
|---|---|
| adam_text | Contents
Introduction 1
Chapter 1. Graded schemes 6
1.1. Graded rings and modules 7
1.2. Modules versus graded modules 12
1.3. Graded schemes 14
1.4. Good graded schemes 19
1.5. Proj of a noetherian positively graded ring 21
1.6. Graded schemes and algebraic stacks 26
Chapter 2. Beilinson s theorem on P(w) 29
2.1. Koszul complex and sheaves of differentials 31
2.2. The theorem as equivalence of categories 33
2.3. Morphisms between sheaves of differentials 36
2.4. Uniqueness of the minimal resolution 39
2.5. Explicit form of the minimal resolution 41
2.6. Some computations of the minimal resolution 47
2.7. The theorem on P(w) 50
2.8. Application: a splitting criterion 51
Chapter 3. The theorem on weighted canonical projections 53
3.1. Weighted canonical projections 54
3.2. Construction of the resolution 56
3.3. Symmetric resolution 61
3.4. Rank condition 64
3.5. Main theorem 67
Chapter 4. Applications to surfaces with pg = q = 2, K2 = 4 70
4.1. Double covers of an abelian surface 70
4.2. The ring of theta functions of an abelian surface 71
4.3. Computation of £(4 ) 77
4.4. Explicit resolution 82
Appendix A. Abelian categories and derived categories 87
A.I. Quotient of an abelian category 87
A.2. Triangulated categories 88
A.3. Derived categories 90
A.4. Derived functors 92
A.5. Some related results 93
Bibliography 95
V
vi CONTENTS 97
Index
|
| adam_txt |
Contents
Introduction 1
Chapter 1. Graded schemes 6
1.1. Graded rings and modules 7
1.2. Modules versus graded modules 12
1.3. Graded schemes 14
1.4. Good graded schemes 19
1.5. Proj of a noetherian positively graded ring 21
1.6. Graded schemes and algebraic stacks 26
Chapter 2. Beilinson's theorem on P(w) 29
2.1. Koszul complex and sheaves of differentials 31
2.2. The theorem as equivalence of categories 33
2.3. Morphisms between sheaves of differentials 36
2.4. Uniqueness of the minimal resolution 39
2.5. Explicit form of the minimal resolution 41
2.6. Some computations of the minimal resolution 47
2.7. The theorem on P(w) 50
2.8. Application: a splitting criterion 51
Chapter 3. The theorem on weighted canonical projections 53
3.1. Weighted canonical projections 54
3.2. Construction of the resolution 56
3.3. Symmetric resolution 61
3.4. Rank condition 64
3.5. Main theorem 67
Chapter 4. Applications to surfaces with pg = q = 2, K2 = 4 70
4.1. Double covers of an abelian surface 70
4.2. The ring of theta functions of an abelian surface 71
4.3. Computation of £(4 ) 77
4.4. Explicit resolution 82
Appendix A. Abelian categories and derived categories 87
A.I. Quotient of an abelian category 87
A.2. Triangulated categories 88
A.3. Derived categories 90
A.4. Derived functors 92
A.5. Some related results 93
Bibliography 95
V
vi CONTENTS 97
Index |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Canonaco, Alberto 1973- |
| author_GND | (DE-588)173861318 |
| author_facet | Canonaco, Alberto 1973- |
| author_role | aut |
| author_sort | Canonaco, Alberto 1973- |
| author_variant | a c ac |
| building | Verbundindex |
| bvnumber | BV021743825 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 QA564 |
| callnumber-search | QA3 QA564 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| ctrlnum | (OCoLC)68192598 (DE-599)BVBBV021743825 |
| dewey-full | 510S 516.3/5 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 516 - Geometry |
| dewey-raw | 510 s 516.3/5 510 |
| dewey-search | 510 s 516.3/5 510 |
| dewey-sort | 3510 S |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02553nam a2200673 cb4500</leader><controlfield tag="001">BV021743825</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20150326 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">060926s2006 xxu |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2006045732</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821841939</subfield><subfield code="9">0-8218-4193-9</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780821841938</subfield><subfield code="9">978-0-8218-4193-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)68192598</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV021743825</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA564</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510 s</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.3/5</subfield><subfield code="2">22</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.3/5</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">22</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Canonaco, Alberto</subfield><subfield code="d">1973-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)173861318</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The Beilinson complex and canonical rings of irregular surfaces</subfield><subfield code="c">Alberto Canonaco</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, R.I.</subfield><subfield code="b">American Mathematical Society</subfield><subfield code="c">2006</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VII, 99 S.</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">Memoirs of the American Mathematical Society</subfield><subfield code="v">862</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">"Volume 183, number 862 (second of 4 numbers)."</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Abelse subgroepen</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Algebraïsche meetkunde</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Anéis e álgebras comutativos</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Categorias abelianas</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Commutatieve ringen</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Espaços projetivos</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Projectieve ruimten</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Schemes (Algebraic geometry)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Projective spaces</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometry, Algebraic</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Commutative rings</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Abelian categories</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Projektiver Raum</subfield><subfield code="0">(DE-588)4175893-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Abelsche Kategorie</subfield><subfield code="0">(DE-588)4140991-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Geometrie</subfield><subfield code="0">(DE-588)4001161-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Projektiver Raum</subfield><subfield code="0">(DE-588)4175893-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Algebraische Geometrie</subfield><subfield code="0">(DE-588)4001161-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Abelsche Kategorie</subfield><subfield code="0">(DE-588)4140991-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Algebraische Geometrie</subfield><subfield code="0">(DE-588)4001161-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="C">b</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Memoirs of the American Mathematical Society</subfield><subfield code="v">862</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9">862</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ 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=014957152&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-014957152</subfield></datafield></record></collection> |
| id | DE-604.BV021743825 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T15:30:08Z |
| indexdate | 2024-07-09T20:43:02Z |
| institution | BVB |
| isbn | 0821841939 9780821841938 |
| language | English |
| lccn | 2006045732 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014957152 |
| oclc_num | 68192598 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-29T DE-11 DE-188 DE-83 |
| owner_facet | DE-355 DE-BY-UBR DE-29T DE-11 DE-188 DE-83 |
| physical | VII, 99 S. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Canonaco, Alberto 1973- Verfasser (DE-588)173861318 aut The Beilinson complex and canonical rings of irregular surfaces Alberto Canonaco Providence, R.I. American Mathematical Society 2006 VII, 99 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 862 "Volume 183, number 862 (second of 4 numbers)." Includes bibliographical references Abelse subgroepen gtt Algebraïsche meetkunde gtt Anéis e álgebras comutativos larpcal Categorias abelianas larpcal Commutatieve ringen gtt Espaços projetivos larpcal Projectieve ruimten gtt Schemes (Algebraic geometry) Projective spaces Geometry, Algebraic Commutative rings Abelian categories Projektiver Raum (DE-588)4175893-6 gnd rswk-swf Abelsche Kategorie (DE-588)4140991-7 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Projektiver Raum (DE-588)4175893-6 s Algebraische Geometrie (DE-588)4001161-6 s DE-604 Abelsche Kategorie (DE-588)4140991-7 s b DE-604 Memoirs of the American Mathematical Society 862 (DE-604)BV008000141 862 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014957152&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Canonaco, Alberto 1973- The Beilinson complex and canonical rings of irregular surfaces Memoirs of the American Mathematical Society Abelse subgroepen gtt Algebraïsche meetkunde gtt Anéis e álgebras comutativos larpcal Categorias abelianas larpcal Commutatieve ringen gtt Espaços projetivos larpcal Projectieve ruimten gtt Schemes (Algebraic geometry) Projective spaces Geometry, Algebraic Commutative rings Abelian categories Projektiver Raum (DE-588)4175893-6 gnd Abelsche Kategorie (DE-588)4140991-7 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4175893-6 (DE-588)4140991-7 (DE-588)4001161-6 |
| title | The Beilinson complex and canonical rings of irregular surfaces |
| title_auth | The Beilinson complex and canonical rings of irregular surfaces |
| title_exact_search | The Beilinson complex and canonical rings of irregular surfaces |
| title_exact_search_txtP | The Beilinson complex and canonical rings of irregular surfaces |
| title_full | The Beilinson complex and canonical rings of irregular surfaces Alberto Canonaco |
| title_fullStr | The Beilinson complex and canonical rings of irregular surfaces Alberto Canonaco |
| title_full_unstemmed | The Beilinson complex and canonical rings of irregular surfaces Alberto Canonaco |
| title_short | The Beilinson complex and canonical rings of irregular surfaces |
| title_sort | the beilinson complex and canonical rings of irregular surfaces |
| topic | Abelse subgroepen gtt Algebraïsche meetkunde gtt Anéis e álgebras comutativos larpcal Categorias abelianas larpcal Commutatieve ringen gtt Espaços projetivos larpcal Projectieve ruimten gtt Schemes (Algebraic geometry) Projective spaces Geometry, Algebraic Commutative rings Abelian categories Projektiver Raum (DE-588)4175893-6 gnd Abelsche Kategorie (DE-588)4140991-7 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Abelse subgroepen Algebraïsche meetkunde Anéis e álgebras comutativos Categorias abelianas Commutatieve ringen Espaços projetivos Projectieve ruimten Schemes (Algebraic geometry) Projective spaces Geometry, Algebraic Commutative rings Abelian categories Projektiver Raum Abelsche Kategorie Algebraische Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014957152&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT canonacoalberto thebeilinsoncomplexandcanonicalringsofirregularsurfaces |