paper

The Morrison Cone Conjecture under Deformation

arXiv:2410.05949

Abstract

We prove that if the Morrison cone conjecture holds for a smooth Calabi-Yau threefold , it holds for any smooth Calabi-Yau threefold deformation-equivalent to . We use this result to prove a new case of the Morrison cone conjecture.

Minor corrections, incorporation of comments. Improved exposition in Introduction and Section 5