Deformation of holomorphic maps onto Fano manifolds of second and fourth Betti numbers 1

DOI10.5802/aif.2278zbMath1126.32011OpenAlexW2319491211MaRDI QIDQ2372816

Jun-Muk Hwang

Publication date: 1 August 2007

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2007__57_3_815_0

zbMATH Keywords

Fano manifoldminimal rational curvesdeformations of holomorphic maps

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Fano varieties (14J45)

Related Items (9)

Deformation of holomorphic maps onto the blow-up of the projective plane ⋮ AN INVARIANT FOR EMBEDDED FANO MANIFOLDS COVERED BY LINEAR SPACES ⋮ Lengths of chains of minimal rational curves on Fano manifolds ⋮ A classification theorem on Fano bundles ⋮ Minimal Rational Curves on Complete Toric Manifolds and Applications ⋮ Cohomological characterizations of projective spaces and hyperquadrics ⋮ Base manifolds for fibrations of projective irreducible symplectic manifolds ⋮ Identifying quadric bundle structures on complex projective varieties ⋮ On base manifolds of Lagrangian fibrations

Cites Work

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• Vector bundles on complex projective spaces
• Birationality of the tangent map for minimal rational curves
• Rational curves of minimal degree and characterizations of projective spaces
• Holomorphic maps onto varieties of non-negative Kodaira dimension
• Finite morphisms onto Fano manifolds of Picard number 1 which have rational curves with trivial normal bundles
• On the degrees of Fano four-folds of Picard number 1

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