Homogeneous Spaces and Equivariant Embeddings

Beschreibung

Druck auf Anfrage Neuware - Printed after ordering - 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.

Bestandsnummer des Verkäufers 9783642267727

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Bibliografische Details

Titel

Homogeneous Spaces and Equivariant Embeddings

Verlag

Springer Berlin Heidelberg, Springer Berlin Heidelberg

Erscheinungsjahr

2013

Sprache

Englisch

ISBN-10

3642267726

ISBN-13

9783642267727

Einband

Taschenbuch

Zustand

Neu

Abmessungen

235B x 155 H x 16 T Millimeter Breite: 235 mm, Höhe: 155 mm, Tiefe: 16 mm

Gewicht

423 Gramm

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