Complete homogeneous varieties: Structure and classification

DOI10.1090/S0002-9947-03-03280-XzbMath1087.14036MaRDI QIDQ4417282

Carlos Sancho de Salas

Publication date: 28 July 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

abelian varietyflag varietyparabolic subgroupalgebraic group of positive characteristic

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Group actions on varieties or schemes (quotients) (14L30) Grassmannians, Schubert varieties, flag manifolds (14M15) Homogeneous complex manifolds (32M10)

Related Items (8)

Some Basic Results on Actions of Nonaffine Algebraic Groups ⋮ On the structure of flat families of complete homogeneous varieties ⋮ Motivic decomposition of projective pseudo-homogeneous varieties ⋮ D-modules and projective stacks ⋮ Counting points of homogeneous varieties over finite fields ⋮ Global Frobenius liftability. I ⋮ Low-dimensional projective manifolds with nef tangent bundle in positive characteristic ⋮ Principal bundles, quasi-abelian varieties and structure of algebraic groups

Cites Work

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• Über kompakte homogene Kählersche Mannigfaltigkeiten
• Symmetric compact complex spaces
• Automorphismes et déformations des variétés de Borel
• Representability of group functors, and automorphisms of algebraic schemes
• On the equations defining Abelian varieties. I-III
• Some Basic Theorems on Algebraic Groups
• Classification of All Parabolic Subgroup-Schemes of a Reductive Linear Algebraic Group Over an Algebraically Closed Field

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