Frobenius Splitting Methods in Geometry and Representation Theory

• Main Authors: Brion, Michel (Author), Kumar, Shrawan (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2005.
• Series: Progress in Mathematics ; 231
• Subjects: Mathematics.; Algebraic geometry.; Group theory.; Algebraic Geometry.; Group Theory and Generalizations.

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 unf...

Table of Contents:

• 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.