English

The Morrison Cone Conjecture under Deformation

Algebraic Geometry 2025-01-27 v2

Abstract

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

Keywords

Cite

@article{arxiv.2410.05949,
  title  = {The Morrison Cone Conjecture under Deformation},
  author = {Wendelin Lutz},
  journal= {arXiv preprint arXiv:2410.05949},
  year   = {2025}
}

Comments

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

R2 v1 2026-06-28T19:12:51.235Z