English

Holomorphic curves in compact Shimura varieties

Algebraic Geometry 2016-10-06 v1

Abstract

We prove a hyperbolic analogue of the Bloch-Ochiai theorem about the Zariski closure of holomorphic curves in abelian varieties.

Keywords

Cite

@article{arxiv.1610.01494,
  title  = {Holomorphic curves in compact Shimura varieties},
  author = {Emmanuel Ullmo and Andrei Yafaev},
  journal= {arXiv preprint arXiv:1610.01494},
  year   = {2016}
}
R2 v1 2026-06-22T16:11:47.817Z