On Higgs bundles over Shimura varieties of ball quotient type
Number Theory
2016-10-26 v1 Algebraic Geometry
Abstract
We prove the generic exclusion of certain Shimura varieties of unitary and orthogonal types from the Torelli locus. The proof relies on a slope inequality on surface fibration due to G. Xiao, and the main result implies that certain Shimura varieties only meet the Torelli locus in dimension zero.
Keywords
Cite
@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}
}
Comments
Dedicated to Professor Ngaiming Mok on the occasion of his sixtieth birthday