English

Classification of complex hyperbolic triangle groups by types

Geometric Topology 2019-10-22 v1

Abstract

We give a complete classification of complex hyperbolic (n1,n2,n3)(n_1, n_2, n_3)-triangle groups by types defined according to the ellipticity of two particular words of short length. This improves the Schwartz conjecture proved by Grossi.

Keywords

Cite

@article{arxiv.1910.08879,
  title  = {Classification of complex hyperbolic triangle groups by types},
  author = {Yuhan Wang},
  journal= {arXiv preprint arXiv:1910.08879},
  year   = {2019}
}

Comments

17 pages, 1 figure

R2 v1 2026-06-23T11:48:47.022Z