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

Published 16 Jul 2012 in math.AG | (1207.3653v3)

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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