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arXiv · 2010.04063

Holomorphic curves in Base Spaces of Families of Polarized Manifolds

Steven Lu·Ruiran Sun·Kang Zuo
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Abstract

For a smooth family $V \to U$ of polarized manifolds with semi-ample canonical sheaves, we show the following result: any entire curve must be contained in the fibers of the classifying map from the base space $U$ to the moduli space. This settles the Relative Isotriviality Conjecture, \cite[Conjecture 1.5]{DLSZ}.

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Steven Lu, Ruiran Sun, Kang Zuo. 2020-10-08. Holomorphic curves in Base Spaces of Families of Polarized Manifolds. https://arxiv.org/abs/2010.04063

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