严格 Calabi-Yau 三重面上 Morrison 锥猜想的一个反例
代数几何
2022-11-21 v3
摘要
我们给出一个严格 Calabi-Yau 三重面上 Morrison 锥猜想的反例。
引用
@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}
}
备注
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