English

A note on Shimura subvarieties in the hyperelliptic Torelli locus

Number Theory 2015-04-22 v1 Algebraic Geometry

Abstract

We prove the non-existence of Shimura subvarieties of positive dimension contained generically in the hyperelliptic Torelli locus for curves of genus at least 8, which is an analogue of Oort's conjecture in the hyperelliptic case.

Cite

@article{arxiv.1504.05380,
  title  = {A note on Shimura subvarieties in the hyperelliptic Torelli locus},
  author = {Ke Chen and Xin Lu and Kang Zuo},
  journal= {arXiv preprint arXiv:1504.05380},
  year   = {2015}
}
R2 v1 2026-06-22T09:19:41.217Z