| 书目名称 | Triangulated Categories of Mixed Motives |
| 编辑 | Denis-Charles Cisinski,Frédéric Déglise |
| 视频video | |
| 概述 | Provides a complete theory of triangulated rational mixed motives satisfying Grothendieck’s six operations, including the state of the art for integral coefficients.Gives a systematic, self-contained, |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | The primary aim of this monograph is to achieve part of Beilinson’s program on mixed motives using Voevodsky’s theories of .A.1.-homotopy and motivic complexes. .Historically, this book is the first to give a complete construction of a triangulated category of mixed motives with rational coefficients satisfying the full Grothendieck six functors formalism as well as fulfilling Beilinson’s program, in particular the interpretation of rational higher Chow groups as extension groups. Apart from Voevodsky’s entire work and Grothendieck’s SGA4, our main sources are Gabber’s work on étale cohomology and Ayoub’s solution to Voevodsky’s cross functors theory. We also thoroughly develop the theory of motivic complexes with integral coefficients over general bases, along the lines of Suslin and Voevodsky...Besides this achievement, this volume provides a complete toolkit for the study of systems of coefficients satisfying Grothendieck’ six functors formalism, including Grothendieck-Verdier duality. It gives a systematic account of cohomological descent theory with an emphasis on h-descent. It formalizes morphisms of coefficient systems with a view towards realization functors and comparison |
| 出版日期 | Book 2019 |
| 关键词 | mixed motives; motivic cohomology; six functors; cohomological descent; Grothendieck-Verdier duality; mot |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-33242-6 |
| isbn_softcover | 978-3-030-33244-0 |
| isbn_ebook | 978-3-030-33242-6Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer Nature Switzerland AG 2019 |
发表于 2025-3-21 17:00:19
