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arXiv:1407.5694 [math.AG]AbstractReferencesReviewsResources

Ampleness of canonical divisors of hyperbolic normal projective varieties

Fei Hu, Sheng Meng, De-Qi Zhang

Published 2014-07-21Version 1

Let X be a projective variety which is algebraic Lang hyperbolic. We show that Lang's conjecture holds (one direction only): X and all its subvarieties are of general type and the canonical divisor K_X is ample at smooth points and Kawamata log terminal points of X, provided that K_X is Q-Cartier, no Calabi-Yau variety is algebraic Lang hyperbolic and a weak abundance conjecture holds.

Comments: Mathematische Zeitschrift (to appear)
Categories: math.AG, math.CV, math.DG
Subjects: 32Q45, 14E30
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