Relative systoles in hyperelliptic translation surfaces
Geometric Topology
2024-07-24 v1
Abstract
In this paper we prove that the systole fonction on a connected component of area one translation surfaces admits a local maximum that is not a global maximum if and only if the connected component is not hyperelliptic.
Cite
@article{arxiv.2007.16086,
title = {Relative systoles in hyperelliptic translation surfaces},
author = {Corentin Boissy and Slavyana Geninska},
journal= {arXiv preprint arXiv:2007.16086},
year = {2024}
}