| 书目名称 | Homogeneous Spaces and Equivariant Embeddings | | 编辑 | D.A. Timashev | | 视频video | | | 概述 | First existing complete survey of various topics related to the subject of the book and to each other, which were by now scattered in the literature..Well-developed cross-referencing mechanism makes i | | 丛书名称 | Encyclopaedia of Mathematical Sciences | | 图书封面 |  | | 描述 | .Homogeneous spaces of linear algebraic groups lie at the crossroads of algebraic geometry, theory of algebraic groups, classical projective and enumerative geometry, harmonic analysis, and representation theory. By standard reasons of algebraic geometry, in order to solve various problems on a homogeneous space, it is natural and helpful to compactify it while keeping track of the group action, i.e., to consider equivariant completions or, more generally, open embeddings of a given homogeneous space. Such equivariant embeddings are the subject of this book. We focus on the classification of equivariant embeddings in terms of certain data of "combinatorial" nature (the Luna-Vust theory) and description of various geometric and representation-theoretic properties of these varieties based on these data. The class of spherical varieties, intensively studied during the last three decades, is of special interest in the scope of this book. Spherical varieties include many classical examples, such as Grassmannians, flag varieties, and varieties of quadrics, as well as well-known toric varieties. We have attempted to cover most of the important issues, including the recent substantial prog | | 出版日期 | Book 2011 | | 关键词 | algebraic group; equivariant embedding; homogeneous space; reductive group; spherical variety | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-18399-7 | | isbn_softcover | 978-3-642-26772-7 | | isbn_ebook | 978-3-642-18399-7Series ISSN 0938-0396 | | issn_series | 0938-0396 | | copyright | Springer-Verlag Berlin Heidelberg 2011 |
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发表于 2025-3-21 17:26:11
