arXiv Analytics

Sign in

arXiv:1901.04423 [math.AG]AbstractReferencesReviewsResources

Hyperbolicity of bases of log Calabi-Yau families

Ya Deng

Published 2019-01-14Version 1

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.

Comments: 15 pages, comments are very welcome!
Categories: math.AG, math.CV
Subjects: 32Q45, 14C30, 32J25, 14H15
Related articles: Most relevant | Search more
arXiv:2001.10475 [math.AG] (Published 2020-01-28)
Hyperbolicity of varieties of log general type: arithmetic and geometry
arXiv:0709.3881 [math.AG] (Published 2007-09-25, updated 2008-10-14)
Logarithmic vector fields and hyperbolicity
arXiv:2007.07572 [math.AG] (Published 2020-07-15)
Hyperbolicity and Specialness of Symmetric Powers

Links

Toolbox