English

What is a fundamental domain?

Number Theory 2023-08-24 v1

Abstract

We show by means of various examples that many of the current definitions of the notion of fundamental domain of a Fuchsian group lack an extra condition ensuring that the domain differs from a measurable fundamental set at most by a null set.

Cite

@article{arxiv.2308.11997,
  title  = {What is a fundamental domain?},
  author = {Jürgen Elstrodt},
  journal= {arXiv preprint arXiv:2308.11997},
  year   = {2023}
}
R2 v1 2026-06-28T12:02:18.495Z