The theory of Frobenius splittings has made a significant impact in the study of the geometry of flag varieties and representation theory. This book systematically develops the theory and covers all its major developments. It's concise, efficient exposition unfolds from basic introductory material on Frobenius splittingsdefinitions, properties and examplesto cutting edge research, making it an excellent resource for mathematicians and graduate students in algebraic geometry and representation theory of algebraic groups.

Applies Frobenius splitting methods to algebraic geometry and various problems in representation theory Unique in book literature, systematically develops the theory and covers all its major developments Will be an excellent resource for mathematicians and graduate students in algebraic geometry and representation theory of algebraic groups

Zusammenfassung

Systematically develops the theory of Frobenius splittings and covers all its major developments.

Concise, efficient exposition unfolds from basic introductory material on Frobenius splittingsdefinitions, properties and examplesto cutting edge research.

Inhalt
Frobenius Splitting: General Theory.- Frobenius Splitting of Schubert Varieties.- Cohomology and Geometry of Schubert Varieties.- Canonical Splitting and Good Filtration.- Cotangent Bundles of Flag Varieties.- Equivariant Embeddings of Reductive Groups.- Hilbert Schemes of Points on Surfaces.