The Resource Homogeneous spaces and equivariant embeddings, Dmitry A. Timashev
Homogeneous spaces and equivariant embeddings, Dmitry A. Timashev
Resource Information
The item Homogeneous spaces and equivariant embeddings, Dmitry A. Timashev represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Homogeneous spaces and equivariant embeddings, Dmitry A. Timashev represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 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 LunaVust theory) and description of various geometric and representationtheoretic 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 wellknown 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
 Language
 eng
 Extent
 1 online resource (xxi, 253 pages).
 Contents

 Introduction.1 Algebraic Homogeneous Spaces
 2 Complexity and Rank
 3 General Theory of Embeddings
 4 Invariant Valuations
 5 Spherical Varieties
 Appendices
 Bibliography
 Indices
 Isbn
 9783642183997
 Label
 Homogeneous spaces and equivariant embeddings
 Title
 Homogeneous spaces and equivariant embeddings
 Statement of responsibility
 Dmitry A. Timashev
 Language
 eng
 Summary
 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 LunaVust theory) and description of various geometric and representationtheoretic 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 wellknown 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
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Timashev, Dmitry A
 Dewey number
 514/.325
 Index
 index present
 LC call number
 QA387
 LC item number
 .T56 2011
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Encyclopaedia of mathematical sciences
 Series volume
 v. 138
 http://library.link/vocab/subjectName

 Homogeneous spaces
 Embeddings (Mathematics)
 MATHEMATICS
 Embeddings (Mathematics)
 Homogeneous spaces
 Algebraische Gruppe
 Einbettung
 Homogener Raum
 Label
 Homogeneous spaces and equivariant embeddings, Dmitry A. Timashev
 Bibliography note
 Includes bibliographical references and indexes
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction.1 Algebraic Homogeneous Spaces  2 Complexity and Rank  3 General Theory of Embeddings  4 Invariant Valuations  5 Spherical Varieties  Appendices  Bibliography  Indices
 Control code
 728100147
 Dimensions
 unknown
 Extent
 1 online resource (xxi, 253 pages).
 Form of item
 online
 Isbn
 9783642183997
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783642183997.
 http://library.link/vocab/ext/overdrive/overdriveId
 9783642183980
 Specific material designation
 remote
 System control number
 (OCoLC)728100147
 Label
 Homogeneous spaces and equivariant embeddings, Dmitry A. Timashev
 Bibliography note
 Includes bibliographical references and indexes
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction.1 Algebraic Homogeneous Spaces  2 Complexity and Rank  3 General Theory of Embeddings  4 Invariant Valuations  5 Spherical Varieties  Appendices  Bibliography  Indices
 Control code
 728100147
 Dimensions
 unknown
 Extent
 1 online resource (xxi, 253 pages).
 Form of item
 online
 Isbn
 9783642183997
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783642183997.
 http://library.link/vocab/ext/overdrive/overdriveId
 9783642183980
 Specific material designation
 remote
 System control number
 (OCoLC)728100147
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