Derived l-adic categories for algebraic stacks:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Mathematical Society
2003
|
| Series: | Memoirs of the American Mathematical Society
774 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references "Volume 163, number 774 (first of 5 numbers)." |
| Physical Description: | VII, 93 S. |
| ISBN: | 0821829297 |
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| 245 | 1 | 0 | |a Derived l-adic categories for algebraic stacks |c Kai A. Behrend |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2003 | |
| 300 | |a VII, 93 S. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 774 | |
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| 650 | 7 | |a Algebraïsche groepen |2 gtt | |
| 650 | 7 | |a Homologische algebra |2 gtt | |
| 650 | 7 | |a Moduli spaces |2 gtt | |
| 650 | 7 | |a MÓDULOS |2 larpcal | |
| 650 | 7 | |a ÁLGEBRA HOMOLÓGICA |2 larpcal | |
| 650 | 4 | |a Algebra, Homological | |
| 650 | 4 | |a Algebraic stacks | |
| 650 | 4 | |a Moduli theory | |
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Record in the Search Index
| _version_ | 1804129819557888000 |
|---|---|
| adam_text | Contents
Introduction 1
Chapter 1. The ^ adic Formalism 7
1. Quotients of t Categories 7
2. £ Adic Derived Categories 9
2.1. Functoriality 11
Chapter 2. Stratifications 15
1. d Structures 15
2. cd Structures 17
Chapter 3. Topoi 21
1. Fibered Topoi 21
2. Constructible Sheaves 24
3. Constructible ^ Adic Sheaves 26
4. Topoi with c Structures and ^ Adic Derived Categories 29
5. The d Structures Defined by c Topoi 34
6. Topoi with e Structures 37
Chapter 4. Algebraic Stacks 41
1. Preliminaries on Algebraic Stacks 41
1.1. Gerbe Like morphisms 41
1.2. Devissage for Algebraic Stacks 43
1.3. Universal Homeomorphisms 45
2. The Etale Topos of an Algebraic Stack 46
2.1. The Flat Topos 46
2.2. The Etale Topos 47
3. The Smooth Topos 48
4. The Simplicial Approach 51
4.1. The d structures defined by the simplicial c topos 52
5. The Smooth Approach 53
6. The Etale Smooth cd Structure 57
7. The £ Adic d Structure 62
7.1. Closed L Stratifications 62
7.2. Some more auxiliary results 64
7.3. The Main Theorem 65
8. Purity and Extraordinary Pullbacks 67
vi CONTENTS
Chapter 5. Convergent Complexes 73
1. (^ Complexes 73
1.1. A Theorem of Borel 75
2. Probenius 75
3. Mixed and Convergent Complexes 78
3.1. Convergence 79
4. The Trace Formula 82
4.1. More about Probenius 82
4.2. Trace of Probenius 84
4.3. An Example 89
Bibliography 93
|
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| id | DE-604.BV016498438 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:11:12Z |
| institution | BVB |
| isbn | 0821829297 |
| language | English |
| lccn | 2003040432 |
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| physical | VII, 93 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Behrend, Kai 1961- Verfasser (DE-588)1024401200 aut Derived l-adic categories for algebraic stacks Kai A. Behrend Providence, R.I. American Mathematical Society 2003 VII, 93 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 774 Includes bibliographical references "Volume 163, number 774 (first of 5 numbers)." Algebraïsche groepen gtt Homologische algebra gtt Moduli spaces gtt MÓDULOS larpcal ÁLGEBRA HOMOLÓGICA larpcal Algebra, Homological Algebraic stacks Moduli theory Homologische Algebra (DE-588)4160598-6 gnd rswk-swf Modultheorie (DE-588)4170336-4 gnd rswk-swf Homologische Algebra (DE-588)4160598-6 s Modultheorie (DE-588)4170336-4 s DE-604 Memoirs of the American Mathematical Society 774 (DE-604)BV008000141 774 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010197247&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Behrend, Kai 1961- Derived l-adic categories for algebraic stacks Memoirs of the American Mathematical Society Algebraïsche groepen gtt Homologische algebra gtt Moduli spaces gtt MÓDULOS larpcal ÁLGEBRA HOMOLÓGICA larpcal Algebra, Homological Algebraic stacks Moduli theory Homologische Algebra (DE-588)4160598-6 gnd Modultheorie (DE-588)4170336-4 gnd |
| subject_GND | (DE-588)4160598-6 (DE-588)4170336-4 |
| title | Derived l-adic categories for algebraic stacks |
| title_auth | Derived l-adic categories for algebraic stacks |
| title_exact_search | Derived l-adic categories for algebraic stacks |
| title_full | Derived l-adic categories for algebraic stacks Kai A. Behrend |
| title_fullStr | Derived l-adic categories for algebraic stacks Kai A. Behrend |
| title_full_unstemmed | Derived l-adic categories for algebraic stacks Kai A. Behrend |
| title_short | Derived l-adic categories for algebraic stacks |
| title_sort | derived l adic categories for algebraic stacks |
| topic | Algebraïsche groepen gtt Homologische algebra gtt Moduli spaces gtt MÓDULOS larpcal ÁLGEBRA HOMOLÓGICA larpcal Algebra, Homological Algebraic stacks Moduli theory Homologische Algebra (DE-588)4160598-6 gnd Modultheorie (DE-588)4170336-4 gnd |
| topic_facet | Algebraïsche groepen Homologische algebra Moduli spaces MÓDULOS ÁLGEBRA HOMOLÓGICA Algebra, Homological Algebraic stacks Moduli theory Homologische Algebra Modultheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010197247&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT behrendkai derivedladiccategoriesforalgebraicstacks |