Mixed motives:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[1998]
|
| Schriftenreihe: | Mathematical surveys and monographs
volume 57 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | x, 515 Seiten Illustrationen, Diagramme |
| ISBN: | 0821807854 9780821807859 |
Internformat
MARC
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| 245 | 1 | 0 | |a Mixed motives |c Marc Levine |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [1998] | |
| 264 | 4 | |c © 1998 | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Preface ix
Part I. Motives 1
Introduction: Part I 3
Chapter I. The Motivic Category 7
1. The motivic DG category 9
2. The triangulated motivic category 16
3. Structure of the motivic categories 36
Chapter II. Motivic Cohomology and Higher Chow Groups 53
1. Hypercohomology in the motivic category 53
2. Higher Chow groups 65
3. The motivic cycle map 77
Chapter III. K Theory and Motives 107
1. Chern classes 107
2. Push forward 130
3. Riemann Roch 161
Chapter IV. Homology, Cohomology, and Duality 191
1. Duality 191
2. Classical constructions 209
3. Motives over a perfect field 237
Chapter V. Realization of the Motivic Category 255
1. Realization for geometric cohomology 255
2. Concrete realizations 267
Chapter VI. Motivic Constructions and Comparisons 293
1. Motivic constructions 293
2. Comparison with the category DMgm(k) 310
Appendix A. Equi dimensional Cycles 331
1. Cycles over a normal scheme 331
2. Cycles over a reduced scheme 347
Appendix B. K Theory 357
1. K theory of rings and schemes 357
2. K theory and homology 360
vii
viii CONTENTS
Part II. Categorical Algebra 371
Introduction: Part II 373
Chapter I. Symmetric Monoidal Structures 375
1. Foundational material 375
2. Constructions and computations 383
Chapter II. DG Categories and Triangulated Categories 401
1. Differential graded categories 401
2. Complexes and triangulated categories 414
3. Constructions 435
Chapter III. Simplicial and Cosimplicial Constructions 449
1. Complexes arising from simplicial and cosimplicial objects 449
2. Categorical cochain operations 454
3. Homotopy limits 466
Chapter IV. Canonical Models for Cohomology 481
1. Sheaves, sites, and topoi 481
2. Canonical resolutions 486
Bibliography 501
Subject Index 507
Index of Notation 513
|
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| dewey-ones | 516 - Geometry |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013266516 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:42:47Z |
| institution | BVB |
| isbn | 0821807854 9780821807859 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009044312 |
| oclc_num | 246373296 |
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| physical | x, 515 Seiten Illustrationen, Diagramme |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Mathematical surveys and monographs |
| series2 | Mathematical surveys and monographs |
| spelling | Levine, Marc 1952- Verfasser (DE-588)120151499 aut Mixed motives Marc Levine Providence, Rhode Island American Mathematical Society [1998] © 1998 x, 515 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Mathematical surveys and monographs volume 57 Gemischtes Motiv (DE-588)4231782-4 gnd rswk-swf Motiv Mathematik (DE-588)4197596-0 gnd rswk-swf Motiv Mathematik (DE-588)4197596-0 s DE-604 Gemischtes Motiv (DE-588)4231782-4 s Erscheint auch als Online-Ausgabe 978-0-8218-3398-8 Mathematical surveys and monographs volume 57 (DE-604)BV000018014 57 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009044312&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Levine, Marc 1952- Mixed motives Mathematical surveys and monographs Gemischtes Motiv (DE-588)4231782-4 gnd Motiv Mathematik (DE-588)4197596-0 gnd |
| subject_GND | (DE-588)4231782-4 (DE-588)4197596-0 |
| title | Mixed motives |
| title_auth | Mixed motives |
| title_exact_search | Mixed motives |
| title_full | Mixed motives Marc Levine |
| title_fullStr | Mixed motives Marc Levine |
| title_full_unstemmed | Mixed motives Marc Levine |
| title_short | Mixed motives |
| title_sort | mixed motives |
| topic | Gemischtes Motiv (DE-588)4231782-4 gnd Motiv Mathematik (DE-588)4197596-0 gnd |
| topic_facet | Gemischtes Motiv Motiv Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009044312&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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