Schur rigidity of Schubert varieties in rational homogeneous manifolds of Picard number one
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Publication:2190741
DOI10.1007/s00029-020-00571-9zbMath1445.14070arXiv2005.01366OpenAlexW3035636161MaRDI QIDQ2190741
Publication date: 22 June 2020
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.01366
Homogeneous spaces and generalizations (14M17) Differential geometry of homogeneous manifolds (53C30) Grassmannians, Schubert varieties, flag manifolds (14M15) Projective and enumerative algebraic geometry (14N99) Deformations of submanifolds and subspaces (32G10)
Cites Work
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- Flexibility of Schubert classes
- Rigid Schubert varieties in compact Hermitian symmetric spaces
- Analytic continuation of holomorphic maps respecting varieties of minimal rational tangents and applications to rational homogeneous manifolds
- Rigid and non-smoothable Schubert classes
- On some geometric aspects of Bruhat orderings. I: A finer decomposition of Bruhat cells
- On the collapsing of homogeneous bundles
- Generic singularities of certain Schubert varieties
- Rigidity of irreducible Hermitian symmetric spaces of the compact type under Kähler deformation
- On the projective geometry of rational homogeneous varieties
- Cartan-Fubini type extension of holomorphic maps for Fano manifolds of Picard number 1.
- Prolongations of infinitesimal linear automorphisms of projective varieties and rigidity of rational homogeneous spaces of Picard number 1 under Kähler deformation
- Rigidity of Schubert classes in orthogonal Grassmannians
- Some theorems on actions of algebraic groups
- On some smooth projective two-orbit varieties with Picard number 1
- Lie algebra cohomology and generalized Schubert cells
- Rigidity of pairs of rational homogeneous spaces of Picard number 1 and analytic continuation of geometric substructures on uniruled projective manifolds
- Schur flexibility of cominuscule Schubert varieties
- Rigidity of singular Schubert varieties in \(\text{Gr}(m,n)\)
- Geometric Structures and Substructures on Uniruled Projective Manifolds
- Characterization of Standard Embeddings between Rational Homogeneous Manifolds of Picard Number 1
- Deformation rigidity of the rational homogeneous space associated to a long simple root
- Rigidity of smooth Schubert varieties in Hermitian symmetric spaces
- Nonsmoothing of algebraic cycles on Grassmann varieties
- Characterization of smooth Schubert varieties in rational homogeneous manifolds of Picard number 1
- On Stability of Compact Submanifolds of Complex Manifolds
- Lectures on the Geometry of Flag Varieties
- Linear algebraic groups.