Mathematical Research Letters
Volume 20 (2013)
On the cone conjecture for Calabi-Yau manifolds with Picard number two
Pages: 1103 – 1113
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.