关于球商型Shimura簇上的Higgs丛
数论
2016-10-26 v1 代数几何
摘要
我们证明了某些酉型和正交型Shimura簇在托雷利轨迹中的泛排除性。证明依赖于G. Xiao提出的曲面纤维化上的斜率不等式，且主要结果意味着某些Shimura簇仅在零维处与托雷利轨迹相交。
引用
@article{arxiv.1610.07845,
title = {On Higgs bundles over Shimura varieties of ball quotient type},
author = {Ke Chen and Xin Lu and Sheng-Li Tan and Kang Zuo},
journal= {arXiv preprint arXiv:1610.07845},
year = {2016}
}
备注
Dedicated to Professor Ngaiming Mok on the occasion of his sixtieth birthday