A counterexample of Morrison's cone conjecture for a strict Calabi-Yau threefold

Abstract

We give a counterexample of Morrison's cone conjecture for a strict Calabi-Yau threefold.

I deeply apologize there is a serious elementary gap (confusion of convergence of rays and points) in pages 9-10. For the CY, I checked this is really wrong so the arguments of last two pages are not only gap but also really invalid, whereas this does not imply that the cone conjecture holds for the CY