Rigid Schubert varieties in compact Hermitian symmetric spaces

DOI10.1007/s00029-011-0082-yzbMath1250.32022arXiv1102.1966OpenAlexW2023315059MaRDI QIDQ451783

J. Herrera, D. Rodríguez-Gómez

Publication date: 24 September 2012

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1966

zbMATH Keywords

Schubert varietyLie algebra cohomologycompact Hermitian symmetric space

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Exterior differential systems (Cartan theory) (58A15)

Related Items (10)

Geometric structures modeled on smooth projective horospherical varieties of Picard number one ⋮ Flexibility of Schubert classes ⋮ Singular loci of cominuscule Schubert varieties ⋮ Clustered families and applications to Lang‐type conjectures ⋮ Schur rigidity of Schubert varieties in rational homogeneous manifolds of Picard number one ⋮ Iitaka dimension for cycles ⋮ Rigidity of certain admissible pairs of rational homogeneous spaces of Picard number 1 which are not of the subdiagram type ⋮ Rigidity of Schubert classes in orthogonal Grassmannians ⋮ Full cones swept out by minimal rational curves on irreducible Hermitian symmetric spaces as examples of varieties underlying geometric substructures ⋮ On the geometry of spherical varieties

Uses Software

• LiE

Cites Work

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• Rigidity of smooth Schubert varieties in Hermitian symmetric spaces
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• Lie groups beyond an introduction

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