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Homogeneous Spaces and Equivariant Embeddings (Hardcover, 2011 Ed.) Loot Price: R3,825
Discovery Miles 38 250
Homogeneous Spaces and Equivariant Embeddings (Hardcover, 2011 Ed.): D.A. Timashev

Homogeneous Spaces and Equivariant Embeddings (Hardcover, 2011 Ed.)

D.A. Timashev

Series: Encyclopaedia of Mathematical Sciences, 138

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Loot Price R3,825 Discovery Miles 38 250 | Repayment Terms: R358 pm x 12*

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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 progress obtained in and around the theory of spherical varieties.

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Encyclopaedia of Mathematical Sciences, 138
Release date: April 2011
First published: 2011
Authors: D.A. Timashev
Dimensions: 235 x 155 x 19mm (L x W x T)
Format: Hardcover
Pages: 254
Edition: 2011 Ed.
ISBN-13: 978-3-642-18398-0
Categories: Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
Books > Science & Mathematics > Mathematics > Topology > General
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LSN: 3-642-18398-0
Barcode: 9783642183980

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