Second Main Theorem on the Moduli Spaces of Polarized Varieties

Ruiran Sun

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arXiv · 2008.01624

Second Main Theorem on the Moduli Spaces of Polarized Varieties

Ruiran Sun

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Abstract

Let $(X,D)$ be a smooth log pair over $\mathbb{C}$ such that the complement $U := X \setminus D$ 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.

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Ruiran Sun. 2020-08-04. Second Main Theorem on the Moduli Spaces of Polarized Varieties. https://arxiv.org/abs/2008.01624

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