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

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.

to appear in Math. Res. Lett

References in corpus (2)

• Finite generation and geography of models
• Automorphism groups of Calabi-Yau manifolds of Picard number two

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