Frobenius splitting methods in geometry and representation theory /
The theory of Frobenius splittings has made a significant impact in the study of the geometry of flag varieties and representation theory. This work, unique in book literature, systematically develops the theory and covers all its major developments. Key features: * Concise, efficient exposition unf...
Main Author: | |
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Other Authors: | |
Format: | Book |
Language: | English |
Published: |
Boston : Basel : Berlin :
Birkhäuser,
c2005
Boston : Birkhäuser, [2004], c2005 Boston : [2005], ©2005 Boston : c2005 Boston : c2005 Boston : ©2005 Boston : [2005] |
Series: | Progress in mathematics (Boston, Mass.) ;
v. 231 Progress in mathematics (Boston, Mass.) v. 231 |
Subjects: |
Summary: | The theory of Frobenius splittings has made a significant impact in the study of the geometry of flag varieties and representation theory. This work, unique in book literature, systematically develops the theory and covers all its major developments. Key features: * Concise, efficient exposition unfolds from basic introductory material on Frobenius splittings -- definitions, properties and examples -- to cutting edge research * Studies in detail the geometry of Schubert varieties, their syzygies, equivariant embeddings of reductive groups, Hilbert Schemes, canonical splittings, good filtrations, among other topics * Applies Frobenius splitting methods to algebraic geometry and various problems in representation theory * Many examples, exercises, and open problems suggested throughout * Comprehensive bibliography and index This book will be an excellent resource for mathematicians and graduate students in algebraic geometry and representation theory of algebraic groups "This book will be an excellent resource for mathematicians and graduate students in algebraic geometry and representation theory of algebraic groups."--BOOK JACKET |
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Item Description: | This WorldCat-derived record is shareable under Open Data Commons ODC-BY, with attribution to OCLC |
Physical Description: | viii, 250 p. ; 24 cm viii, 250 pages : illustrations ; 24 cm viii, 250 pages ; 24 cm |
Bibliography: | Includes bibliographical references (p. [231]-246) and index Includes bibliographical references (pages [231]-246) and index Includes bibliographical references and index |
ISBN: | 0817641912 (alk. paper) 0817641912 9780817641917 (alk. paper) 9780817641917 9780817644055 (ebk.) |