Hyperbolicity of bases of log Calabi-Yau families

Published 14 Jan 2019 in math.AG and math.CV | (1901.04423v2)

Abstract: In this paper, we prove that the quasi-projective base of any maximally variational smooth family of Calabi-Yau klt pairs 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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Ya Deng

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