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 systematically develops the theory and covers all its major developments.

Key topics and 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

This book will be an excellent resource for mathematicians and graduate students in algebraic geometry and representation theory of algebraic groups.