Deformation rigidity of the rational homogeneous space associated to a long simple root

DOI10.1016/S0012-9593(02)01087-XzbMath1008.32012MaRDI QIDQ3146953

Ngaiming Mok, Jun-Muk Hwang

Publication date: 17 September 2002

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_2002_4_35_2_173_0

zbMATH Keywords

Picard number 1rational homogeneous spacesrigidity under Kähler deformation

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Deformations of general structures on manifolds (58H15) Compact Kähler manifolds: generalizations, classification (32J27)

Related Items (19)

Simplicity of tangent bundles of smooth horospherical varieties of Picard number one ⋮ ON PROJECTIVE MANIFOLDS SWEPT OUT BY CUBIC VARIETIES ⋮ Fano deformation rigidity of rational homogeneous spaces of submaximal Picard numbers ⋮ Cone structures and parabolic geometries ⋮ Geometric structures modeled on smooth projective horospherical varieties of Picard number one ⋮ Schur rigidity of Schubert varieties in rational homogeneous manifolds of Picard number one ⋮ Recognizing the \(\mathsf{G}_2\)-horospherical manifold of Picard number 1 by varieties of minimal rational tangents ⋮ On Lie algebras defined by tangent directions to homogeneous projective varieties ⋮ Lengths of chains of minimal rational curves on Fano manifolds ⋮ Standard embeddings of smooth Schubert varieties in rational homogeneous manifolds of Picard number 1 ⋮ A bound of lengths of chains of minimal rational curves on Fano manifolds of Picard number 1 ⋮ Minimal rational curves on wonderful group compactifications ⋮ Characterization of smooth Schubert varieties in rational homogeneous manifolds of Picard number 1 ⋮ Fano-Mukai fourfolds of genus 10 as compactifications of \(\mathbb{C}^4\) ⋮ On Fano manifolds with Nef tangent bundles admitting 1-dimensional varieties of minimal rational tangents ⋮ Prolongations of infinitesimal linear automorphisms of projective varieties and rigidity of rational homogeneous spaces of Picard number 1 under Kähler deformation ⋮ On the deformation rigidity of smooth projective symmetric varieties with Picard number one ⋮ Minimal rational curves on generalized Bott–Samelson varieties ⋮ A note on holomorphic families of Abelian varieties

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• Sur La Classification Des Fibres Holomorphes Sur La Sphere de Riemann
• Rigidity of homogeneous contact manifolds under Fano deformation.
• On Stability of Compact Submanifolds of Complex Manifolds
• Introduction to Lie Algebras and Representation Theory

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