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arXiv · 2302.09828

Hyperbolicity of the base of an admissible family of log canonical stable minimal models

Junchao Shentu·Chen Zhao
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Abstract

We investigate the stratified hyperbolicity properties of Birkar's moduli stack of log canonical (lc) stable minimal models. The main technical result is a construction of Viehweg-Zuo's system of Higgs sheaves associated with an admissible family of lc stable minimal models, using the theory of degenerations of Hodge structure and non-abelian Hodge theory.

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Junchao Shentu, Chen Zhao. 2023-02-20. Hyperbolicity of the base of an admissible family of log canonical stable minimal models. https://arxiv.org/abs/2302.09828

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