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 splittingsa "definitions, properties and
examplesa "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.
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