| 书目名称 | Relative Nonhomogeneous Koszul Duality | | 编辑 | Leonid Positselski | | 视频video | | | 概述 | Provides an in-depth discussion of Koszul duality in the relative context over a base ring.Presents generalization of the Poincare-Birkhoff-Witt theorem to the relative context.Adds a whole new "relat | | 丛书名称 | Frontiers in Mathematics | | 图书封面 |  | | 描述 | .This research monograph develops the theory of relative nonhomogeneous Koszul duality. Koszul duality is a fundamental phenomenon in homological algebra and related areas of mathematics, such as algebraic topology, algebraic geometry, and representation theory. Koszul duality is a popular subject of contemporary research. ..This book, written by one of the world‘s leading experts in the area, includes the homogeneous and nonhomogeneous quadratic duality theory over a nonsemisimple, noncommutative base ring, the Poincare–Birkhoff–Witt theorem generalized to this context, and triangulated equivalences between suitable exotic derived categories of modules, curved DG comodules, and curved DG contramodules. The thematic example, meaning the classical duality between the ring of differential operators and the de Rham DG algebra of differential forms, involves some of the most important objects of study in the contemporary algebraic and differential geometry. For the first timein the history of Koszul duality the derived D-Omega duality is included into a general framework. Examples highly relevant for algebraic and differential geometry are discussed in detail.. | | 出版日期 | Book 2021 | | 关键词 | quadratic and Koszul graded rings; relative quadratic duality; Koszul duality over a base ring; Poincar | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-89540-2 | | isbn_softcover | 978-3-030-89539-6 | | isbn_ebook | 978-3-030-89540-2Series ISSN 1660-8046 Series E-ISSN 1660-8054 | | issn_series | 1660-8046 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 18:18:53
