Progress in Mathematics

Frobenius Splitting Methods in Geometry and Representation Theory

Authors: Brion, Michel, Kumar, Shrawan

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eBook 62,99 €
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Hardcover 76,91 €
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About this Textbook

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.

Reviews

From the reviews:

"The present momgraphy is the first exposition in book form of this theory and of its major applications. Each section of the book is complemented with exerices; each chapter ends with useful comments, and open problems are suggested throughout. The book leads clearly and rapidly an interested reader from basic results to the research level." ---Zentralblatt MATH

"The book is an excellent source for getting familiar with the recent developments in geometric and representation theoretic questions in the theory of algebraic groups, mainly in characteristic p." ---Monatshefte für Mathematik

“This is a truly fantastic book. It is the first comprehensive text on Frobenius splitting and its applications to geometry and representation theory. If this was a one-paragraph review, I would say buy the book, study it carefully and then apply the contents to a research project’. The readers (and the reviewer) are in the authors’debt.”(MATHEMATICAL REVIEWS)


Table of contents (7 chapters)

Buy this book

eBook 62,99 €
price for Spain (gross)
  • ISBN 978-0-8176-4405-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 76,91 €
price for Spain (gross)
  • ISBN 978-0-8176-4191-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Frobenius Splitting Methods in Geometry and Representation Theory
Authors
Series Title
Progress in Mathematics
Series Volume
231
Copyright
2005
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-4405-5
DOI
10.1007/b137486
Hardcover ISBN
978-0-8176-4191-7
Series ISSN
0743-1643
Edition Number
1
Number of Pages
X, 250
Topics