Frobenius Splitting Methods in Geometry and Representation Theory

2005. Auflage 2004
ISBN: 978-0-8176-4191-7
Verlag: Birkhauser Boston

Buch, Englisch, Band 231, 250 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1200 g

Reihe: Progress in Mathematics

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 splittings—definitions, properties and examples—to cutting edge research, making it an excellent resource for mathematicians and graduate students in algebraic geometry and representation theory of algebraic groups.

Zielgruppe

Research

Autoren/Hrsg.

Brion, Michel

Kumar, Shrawan

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

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.