Rigidity of surjective holomorphic maps to Calabi-Yau manifolds

2004/07/18 by Jun-Muk Hwang, Hwang, Jun-Muk
Mathematics · #14J32 #32J27 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.AG #math.CV #msc:14J32 #msc:32J27

paper · pdf · doi:10.48550/arxiv.math/0407309

to appear in Math. Zeit

arxiv created 2004/07/18 · openalex publication_date 2004/07/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the space of surjective holomorphic maps from a compact complex manifold to a compact Kähler manifold with trivial canonical class and finite fundamental group is discrete.

Cited by

• Holomorphic maps onto varieties of non-negative Kodaira dimension

Related

• Non-Kähler Calabi-Yau manifolds and holomorphic geometric structures
• Holomorphic affine connections on non-Kähler manifolds
• Holomorphic maps onto varieties of non-negative Kodaira dimension
• Fundamental group and pluridifferentials on compact Kähler manifolds
• Quasi-isometry and deformations of Calabi-Yau manifolds