Torus quotients of homogeneous spaces --- minimal dimensional Schubert varieties admitting semi-stable points

DOI10.1007/s12044-009-0045-9zbMath1184.14075arXiv0807.4818OpenAlexW2007639519MaRDI QIDQ1043863

Santosha Pattanayak, Subramaniam Senthamarai Kannan

Publication date: 9 December 2009

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.4818

zbMATH Keywords

Schubert varietiesline bundlesemistable pointsCoxeter element

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (14)

Torus quotients of Schubert varieties in the Grassmannian \(G_{2,n}\) ⋮ On the automorphism group of a smooth Schubert variety ⋮ Torus quotients of some flag varieties ⋮ GIT quotient of a Bott-Samelson-Demazure-Hansen variety by a maximal torus ⋮ Torus quotient of the Grassmannian \(G_{n,2n}\) ⋮ Torus quotient of Richardson varieties in orthogonal and symplectic grassmannians ⋮ Torus quotients of Richardson varieties ⋮ Automorphism group of a Bott-Samelson-Demazure-Hansen variety ⋮ Torus Invariants of the Homogeneous Coordinate Ring ofG/B– Connection with Coxeter Elements ⋮ Torus quotients of Richardson varieties in the Grassmannian ⋮ GIT Related Problems of the Flag Variety for the Action of a Maximal Torus ⋮ Torus quotients of homogeneous spaces --- minimal dimensional Schubert varieties admitting semi-stable points ⋮ On the Torus quotients of Schubert varieties ⋮ Minimal Schubert Varieties Admitting Semistable Points for Exceptional Cases

Cites Work

• Cohomology of line bundles on Schubert varieties in the Kac-Moody setting
• Torus quotients of homogeneous spaces --- minimal dimensional Schubert varieties admitting semi-stable points
• Torus quotients of homogeneous spaces
• Torus quotients of homogeneous spaces. II
• Quotient spaces modulo reductive algebraic groups
• Geometric Invariant Theory
• Introduction to Lie Algebras and Representation Theory
• Unnamed Item

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