Second Main Theorem on the Moduli Spaces of Polarized Varieties

arXiv2008.01624MaRDI QIDQ6346478

Ruiran Sun

Publication date: 4 August 2020

Abstract: Let $(X,D)$ be a smooth log pair over $mathbbC$ such that the complement $U:=XsetminusD$ 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.

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