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arXiv:1207.3653 [math.AG]AbstractReferencesReviewsResources

On the Cone conjecture for Calabi-Yau manifolds with Picard number two

Vladimir Lazić, Thomas Peternell

Published 2012-07-16, updated 2013-11-08Version 3

Following a recent work of Oguiso, we calculate explicitly the groups of automorphisms and birational automorphisms on a Calabi-Yau manifold with Picard number two. When the group of birational automorphisms is infinite, we prove that the Cone conjecture of Morrison and Kawamata holds.

Comments: to appear in Math. Res. Lett
Journal: Math. Res. Lett. 20 (2013), no. 6, 1103-1113
Categories: math.AG
Subjects: 14J32, 14E07, 14E30, 14J50
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