Big Picard theorems and algebraic hyperbolicity for varieties admitting a variation of Hodge structures

In this paper, we study various hyperbolicity properties for a quasi-compact K\"ahler manifold $U$ which admits a complex polarized variation of Hodge structures so that each fiber of the period map is zero-dimensional. In the first part, we prove that $U$ is algebraically hyperbolic and that t...

Full description

Bibliographic Details
Main Author: Ya Deng
Format: Article
Language:English
Published: Association Epiga 2023-04-01
Series:Épijournal de Géométrie Algébrique
Subjects:
Online Access:https://epiga.episciences.org/8393/pdf