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arXiv · 1801.05898

Brody hyperbolicity of base spaces of certain families of varieties

Mihnea Popa·Behrouz Taji·Lei Wu
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Abstract

We prove that quasi-projective base spaces of smooth families of minimal varieties of general type with maximal variation do not admit Zariski dense entire curves. We deduce the fact that moduli stacks of polarized varieties of this sort are Brody hyperbolic, answering a special case of a question of Viehweg and Zuo. For two-dimensional bases, we show analogous results in the more general case of families of varieties admitting a good minimal model.

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Mihnea Popa, Behrouz Taji, Lei Wu. 2018-08-30. Brody hyperbolicity of base spaces of certain families of varieties. https://doi.org/10.2140/ant.2019.13.2205

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