| 书目名称 | Foundations of Grothendieck Duality for Diagrams of Schemes | | 编辑 | Joseph Lipman,Mitsuyasu Hashimoto | | 视频video | | | 概述 | Includes supplementary material: | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | .The first part written by Joseph Lipman, accessible to mid-level graduate students, is a full exposition of the abstract foundations of Grothendieck duality theory for schemes (twisted inverse image, tor-independent base change,...), in part without noetherian hypotheses, and with some refinements for maps of finite tor-dimension. The ground is prepared by a lengthy treatment of the rich formalism of relations among the derived functors, for unbounded complexes over ringed spaces, of the sheaf functors tensor, hom, direct and inverse image. Included are enhancements, for quasi-compact quasi-separated schemes, of classical results such as the projection and Künneth isomorphisms. .In the second part, written independently by Mitsuyasu Hashimoto, the theory is extended to the context of diagrams of schemes. This includes, as a special case, an equivariant theory for schemes with group actions. In particular, after various basic operations on sheaves such as (derived) direct images and inverse images are set up, Grothendieck duality and flat base change for diagrams of schemes are proved. Also, dualizing complexes are studied in this context. As an application to group actions, we gen | | 出版日期 | Book 2009 | | 关键词 | Cohomology; Grothendieck duality; derived functors; diagram of schemes; twisted inverse-image | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-540-85420-3 | | isbn_softcover | 978-3-540-85419-7 | | isbn_ebook | 978-3-540-85420-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 2009 |
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发表于 2025-3-21 17:12:18
