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arXiv · 1207.3653

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

Vladimir Lazić·Thomas Peternell
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Abstract

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.

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Vladimir Lazić, Thomas Peternell. 2012-07-16. On the Cone conjecture for Calabi-Yau manifolds with Picard number two. https://doi.org/10.4310/mrl.2013.v20.n6.a9

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