English

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

Algebraic Geometry 2022-11-21 v3

Abstract

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

Keywords

Cite

@article{arxiv.2211.07061,
  title  = {A counterexample of Morrison's cone conjecture for a strict Calabi-Yau threefold},
  author = {Keiji Oguiso},
  journal= {arXiv preprint arXiv:2211.07061},
  year   = {2022}
}

Comments

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