Descent of line bundles to GIT quotients of flag varieties by maximal torus

DOI10.1007/s00031-008-9022-0zbMath1203.14051arXivmath/0702556OpenAlexW2023015344MaRDI QIDQ1024604

Shrawan Kumar

Publication date: 17 June 2009

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702556

zbMATH Keywords

flag varietyline bundlesemisimple groupGIT quotient

Mathematics Subject Classification ID

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

Related Items (12)

Torus quotients of Schubert varieties in the Grassmannian \(G_{2,n}\) ⋮ Syzygies of some GIT quotients ⋮ Projective normality of torus quotients of flag varieties ⋮ Some conditions for descent of line bundles to GIT quotients \((G/B\times G/B\times G/B)//G\) ⋮ Torus quotients of some flag varieties ⋮ Torus quotient of the Grassmannian \(G_{n,2n}\) ⋮ Torus quotients of Richardson varieties in \(G_{r, qr+1}\) ⋮ A geometric approach to the stabilisation of certain sequences of Kronecker coefficients ⋮ Dimension of zero weight space: an algebro-geometric approach ⋮ Torus quotients of Richardson varieties in the Grassmannian ⋮ GIT Related Problems of the Flag Variety for the Action of a Maximal Torus ⋮ On the Torus quotients of Schubert varieties

Cites Work

• Groupe de Picard des variétés de modules de fibrés semi-stable sur les courbes algébriques. (Picard groups of moduli varieties of semi- stable bundles on algebraic curves)
• Geometric Invariant Theory
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