Holomorphic maps onto varieties of non-negative Kodaira dimension

DOI10.1090/S1056-3911-05-00411-XzbMath1112.14014arXivmath/0307220OpenAlexW2027836990MaRDI QIDQ3429777

Stefan Kebekus, Thomas Peternell, Jun-Muk Hwang

Publication date: 20 March 2007

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

Full work available at URL: https://arxiv.org/abs/math/0307220

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Rational and birational maps (14E05) Varieties and morphisms (14A10) Automorphisms of surfaces and higher-dimensional varieties (14J50) (n)-folds ((n>4)) (14J40)

Related Items (10)

Deformation of holomorphic maps onto Fano manifolds of second and fourth Betti numbers 1 ⋮ Deformation of holomorphic maps onto the blow-up of the projective plane ⋮ Algebraic intermediate hyperbolicities ⋮ Demailly's notion of algebraic hyperbolicity: geometricity, boundedness, moduli of maps ⋮ The Lang–Vojta Conjectures on Projective Pseudo-Hyperbolic Varieties ⋮ Minimal Rational Curves on Complete Toric Manifolds and Applications ⋮ Finite morphisms of projective and Kähler manifolds ⋮ Classification of non-degenerate projective varieties with non-zero prolongation and application to target rigidity ⋮ Rigidity of surjective holomorphic maps to Calabi-Yau manifolds ⋮ On coverings of simple abelian varieties

Cites Work

• Finiteness and rigidity theorems for holomorphic mappings
• Semistable sheaves on projective varieties and their restriction to curves
• Meromorphic mappings onto compact complex spaces of general type
• Rigidity of surjective holomorphic maps to Calabi-Yau manifolds
• Uniqueness conditions for certain holomorphic mappings
• Ample vector bundles and branched coverings
• Some Basic Theorems on Algebraic Groups
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