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HYPERBOLICITY OF BASES OF LOG CALABI-YAU FAMILIES

Abstract

We prove that for any maximally varying, log smooth family of Calabi-Yau klt pairs, its quasi-projective base is both of log general type, and pseudo Kobayashi hyperbolic. Moreover, such a base is Brody hyperbolic if the family is effectively parametrized.
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hal-02266744 , version 1 (16-08-2019)

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Ya Deng. HYPERBOLICITY OF BASES OF LOG CALABI-YAU FAMILIES. 2019. ⟨hal-02266744⟩

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