2020
DOI: 10.48550/arxiv.2008.01624
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Second Main Theorem on the Moduli Spaces of Polarized Varieties

Abstract: 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.

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Cited by 1 publication
(6 citation statements)
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“…We first introduce an inequality of curvature currents proved by Sun [10], who obtained this inequality by Viehweg-Zuo's construction [12,13].…”
Section: Second Main Theoremmentioning
confidence: 99%
See 4 more Smart Citations
“…We first introduce an inequality of curvature currents proved by Sun [10], who obtained this inequality by Viehweg-Zuo's construction [12,13].…”
Section: Second Main Theoremmentioning
confidence: 99%
“…With the previous notations, we state a curvature current inequality. The details can be found in [10], Proposition 2.4. Lemma 5.1 (Curvature current inequality, [10]).…”
Section: Second Main Theoremmentioning
confidence: 99%
See 3 more Smart Citations