特殊拉格朗日纤维化、Berkovich 收缩与晶体群
代数几何
2022-12-12 v3 微分几何
数论
摘要
我们显式构造了极大退化阿贝尔簇的有限商上的特殊拉格朗日纤维化，并利用“混合”技术与非阿基米德几何中的 Berkovich 收缩相粘合。我们还显式研究了它们的对称性，这些对称性可视为晶体群。特别地，Kontsevich-Soibelman 猜想在任意维阿贝尔簇有限商的增强意义上得到解决。
引用
@article{arxiv.2206.14474,
title = {Special Lagrangian fibrations, Berkovich retraction, and crystallographic groups},
author = {Keita Goto and Yuji Odaka},
journal= {arXiv preprint arXiv:2206.14474},
year = {2022}
}
备注
30 pages, v2: added an appendix which discusses a certain limiting process of CY metrics to non-Archimedean CY metric and corrected some typos, v3: corrected some typos and minor mathematical errors