English

Density of Zariski density for surface groups

Differential Geometry 2015-01-14 v1

Abstract

We show that a surface group contained in a reductive real algebraic group can be deformed to become Zariski dense, unless its Zariski closure acts transitively on a Hermitian symmetric space of tube type. This is a kind of converse to a rigidity result of Burger, Iozzi and Wienhard.

Keywords

Cite

@article{arxiv.1009.2258,
  title  = {Density of Zariski density for surface groups},
  author = {Inkang Kim and Pierre Pansu},
  journal= {arXiv preprint arXiv:1009.2258},
  year   = {2015}
}
R2 v1 2026-06-21T16:12:52.309Z