Frobenius Splitting Methods in Geometry and Representation Theory

Michel Brion, Shrawan Kumar - Collection Progress in Mathematics

250 pages, parution le 11/02/2005

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Résumé

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.

L'auteur - Michel Brion

Michelle Brion est professeur à l'IUFM de Toulouse.

Sommaire

Preface
Frobenius Splitting: General Theory
Frobenius Splitting of Schubert Varieties
Cohomology and Geometry of Shubert Varieties
Cotangent Bundles of Flag Varieties
Equivariant Embeddings of Reductive Groups
Hilbert Schemes of Points on Surfaces

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Birkhäuser
Auteur(s)	Michel Brion, Shrawan Kumar
Collection	Progress in Mathematics
Parution	11/02/2005
Nb. de pages	250
Format	16 x 24
Couverture	Relié
Poids	531g
Intérieur	Noir et Blanc
EAN13	9780817641917
ISBN13	978-0-8176-4191-7