2020/08/04 by Ruiran Sun, Sun, Ruiran
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Meromorphic and Entire Functions
paper · pdf · doi:10.48550/arxiv.2008.01624
openalex publication_date 2020/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let (X,D) be a smooth log pair over ℂ such that the complement U := X ∖ D carries a maximally varied family of polarized manifolds. We prove a version of second main theorem on (X,D) by using the Viehweg-Zuo construction of the family and McQuillan's tautological inequality. As an application, we generalize a classical result of Nadel about the distribution of entire curves in the (compactified) base space of polarized families.