English

Hyperbolic Ax-Lindemann theorem in the cocompact case

Number Theory 2015-01-14 v2

Abstract

We prove an analogue of the classical Ax-Lindemann theorem in the context of compact Shimura varieties. Our work is motivated by J. Pila's strategy for proving the Andr\'e-Oort conjecture unconditionally

Keywords

Cite

@article{arxiv.1209.0939,
  title  = {Hyperbolic Ax-Lindemann theorem in the cocompact case},
  author = {Emmanuel Ullmo and Andrei Yafaev},
  journal= {arXiv preprint arXiv:1209.0939},
  year   = {2015}
}

Comments

To appear in Duke Mathematical Journal

R2 v1 2026-06-21T22:00:09.563Z