Geometric Structures and Substructures on Uniruled Projective Manifolds

DOI10.1007/978-3-319-24460-0_5zbMath1343.32016OpenAlexW2493275345MaRDI QIDQ2808547

Ngaiming Mok

Publication date: 24 May 2016

Published in: Foliation Theory in Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-24460-0_5

zbMATH Keywords

minimal rational curvesvariety of minimal rational tangentsuniruled projective manifolds

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Fano varieties (14J45) Local Riemannian geometry (53B20)

Related Items (8)

On compact splitting complex submanifolds of quotients of bounded symmetric domains ⋮ A characterization of symplectic Grassmannians ⋮ Schur rigidity of Schubert varieties in rational homogeneous manifolds of Picard number one ⋮ Standard embeddings of smooth Schubert varieties in rational homogeneous manifolds of Picard number 1 ⋮ Fano manifolds of coindex three admitting nef tangent bundle ⋮ Rigidity of certain admissible pairs of rational homogeneous spaces of Picard number 1 which are not of the subdiagram type ⋮ Full cones swept out by minimal rational curves on irreducible Hermitian symmetric spaces as examples of varieties underlying geometric substructures ⋮ Characterizing symplectic Grassmannians by varieties of minimal rational tangents

Cites Work

• Unnamed Item
• Unnamed Item
• Varieties of minimal rational tangents on double covers of projective space
• Analytic continuation of holomorphic maps respecting varieties of minimal rational tangents and applications to rational homogeneous manifolds
• Rigidity of proper holomorphic maps between symmetric domains
• Projective manifolds whose tangent bundles are numerically effective
• Characterization of standard embeddings between complex Grassmannians by means of varieties of minimal rational tangents
• Local rigidity of quasi-regular varieties
• A numerical criterion for uniruledness
• The uniformization theorem for compact Kähler manifolds of nonnegative holomorphic bisectional curvature
• Projective manifolds with ample tangent bundles
• Holomorphic maps from rational homogeneous spaces of Picard number 1 onto projective manifolds
• 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.
• Birationality of the tangent map for minimal rational curves
• Prolongations of infinitesimal linear automorphisms of projective varieties and rigidity of rational homogeneous spaces of Picard number 1 under Kähler deformation
• Integral varieties of the canonical cone structure on \(G/P\)
• Cartan-Fubini type extension of holomorphic maps respecting varieties of minimal rational tangents
• Über Modifikationen und exzeptionelle analytische Mengen
• FANO MANIFOLDS WITH GEOMETRIC STRUCTURES MODELED AFTER HOMOGENEOUS CONTACT MANIFOLDS
• On Fano manifolds with Nef tangent bundles admitting 1-dimensional varieties of minimal rational tangents
• Characterization of Standard Embeddings between Rational Homogeneous Manifolds of Picard Number 1
• Sur La Classification Des Fibres Holomorphes Sur La Sphere de Riemann
• Rigidity of homogeneous contact manifolds under Fano deformation.
• Uniruled projective manifolds with irreducible reductive G-structures.
• Families of singular rational curves
• Characterization of smooth Schubert varieties in rational homogeneous manifolds of Picard number 1
• The Integrability Problem for G-Structures
• Geometry Associated with Semisimple Flat Homogeneous Spaces

This page was built for publication: Geometric Structures and Substructures on Uniruled Projective Manifolds