Analytic continuation of holomorphic maps respecting varieties of minimal rational tangents and applications to rational homogeneous manifolds

DOI10.4310/JDG/1303219429zbMath1230.14057OpenAlexW1579046653WikidataQ115170886 ScholiaQ115170886MaRDI QIDQ542363

Ngaiming Mok, Jaehyun Hong

Publication date: 8 June 2011

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1303219429

zbMATH Keywords

analytic continuationminimal rational curvesrational homogeneous manifoldvariety of minimal rational tangents

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Fano varieties (14J45) Homogeneous complex manifolds (32M10) (n)-folds ((n>4)) (14J40)

Related Items (8)

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 ⋮ 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 ⋮ Full cones swept out by minimal rational curves on irreducible Hermitian symmetric spaces as examples of varieties underlying geometric substructures ⋮ Local holomorphic mappings respecting homogeneous subspaces on rational homogeneous spaces ⋮ Geometric Structures and Substructures on Uniruled Projective Manifolds ⋮ Cartan-Fubini type extension of holomorphic maps respecting varieties of minimal rational tangents

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