Homogeneous Spaces and Equivariant Embeddings

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 homog...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Timashev, D.A (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Colección:Encyclopaedia of Mathematical Sciences ; 138
Temas:
Algebraic geometry.
Topological groups.
Lie groups.
Algebraic Geometry.
Topological Groups and Lie Groups.
Acceso en línea:Texto Completo

MARC

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100 1 |a Timashev, D.A.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Homogeneous Spaces and Equivariant Embeddings  |h [electronic resource] /  |c by D.A. Timashev. 
250 |a 1st ed. 2011. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2011. 
300 |a XXII, 254 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Encyclopaedia of Mathematical Sciences ;  |v 138 
505 0 |a Introduction.- 1 Algebraic Homogeneous Spaces -- 2 Complexity and Rank -- 3 General Theory of Embeddings -- 4 Invariant Valuations -- 5 Spherical Varieties -- Appendices -- Bibliography -- Indices. 
520 |a 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. 
650 0 |a Algebraic geometry. 
650 0 |a Topological groups. 
650 0 |a Lie groups. 
650 1 4 |a Algebraic Geometry. 
650 2 4 |a Topological Groups and Lie Groups. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783642267727 
776 0 8 |i Printed edition:  |z 9783642183980 
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830 0 |a Encyclopaedia of Mathematical Sciences ;  |v 138 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-642-18399-7  |z Texto Completo 
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950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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