On the Cone conjecture for Calabi-Yau manifolds with Picard number two
Algebraic Geometry
2019-04-15 v3
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.
Keywords
Cite
@article{arxiv.1207.3653,
title = {On the Cone conjecture for Calabi-Yau manifolds with Picard number two},
author = {Vladimir Lazić and Thomas Peternell},
journal= {arXiv preprint arXiv:1207.3653},
year = {2019}
}
Comments
to appear in Math. Res. Lett