Rigidity of smooth Schubert varieties in Hermitian symmetric spaces

DOI10.1090/S0002-9947-06-04041-4zbMath1126.14010arXivmath/0410138OpenAlexW1863109379MaRDI QIDQ3420404

Jaehyun Hong

Publication date: 1 February 2007

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

Full work available at URL: https://arxiv.org/abs/math/0410138

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Algebraic cycles (14C25)

Related Items (13)

Classification of smooth horizontal Schubert varieties ⋮ Flexibility of Schubert classes ⋮ Clustered families and applications to Lang‐type conjectures ⋮ Schur rigidity of Schubert varieties in rational homogeneous manifolds of Picard number one ⋮ Rigid Schubert varieties in compact Hermitian symmetric spaces ⋮ Iitaka dimension for cycles ⋮ Characterization of standard embeddings between complex Grassmannians by means of varieties of minimal rational tangents ⋮ Characterization of smooth Schubert varieties in rational homogeneous manifolds of Picard number 1 ⋮ 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 ⋮ Positivity of Chern classes of Schubert cells and varieties ⋮ 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

Cites Work

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• Multiplicities of points on a Schubert variety in a minuscule G/P
• Generic singularities of certain Schubert varieties
• Integral varieties of the canonical cone structure on \(G/P\)
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Lie algebra cohomology and generalized Schubert cells

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