English

Fundamental groups of toroidal compactifications

Algebraic Geometry 2018-11-15 v3

Abstract

We compute the fundamental group of a toroidal compactification of a Hermitian locally symmetric space D/ΓD/\Gamma, without assuming either that Γ\Gammais neat or that it is arithmetic. We also give bounds for the first Betti number.

Keywords

Cite

@article{arxiv.1501.00053,
  title  = {Fundamental groups of toroidal compactifications},
  author = {A. K. Kasparian and G. K. Sankaran},
  journal= {arXiv preprint arXiv:1501.00053},
  year   = {2018}
}

Comments

Final version. Fixes error pointed out by M. Roessler, leading to slightly but significantly changed statements: improved notation

R2 v1 2026-06-22T07:47:47.048Z