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.
