|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Relative systoles in
hyperelliptic translation surfaces
Corentin Boissy and Slavyana Geninska |
|
Algebraic & Geometric Topology 24 (2024) 1903–1912
|
 |
Abstract |
|
We prove that the systole function on a connected component of area- translation surfaces admits a local maximum that is not a global maximum if and only if the connected component is not hyperelliptic. |
Keywords
translation surfaces, systoles, moduli spaces
|
Mathematical Subject Classification
Primary: 32G15
Secondary: 30F30
|
References |
Publication
Received: 7 June 2021
Revised: 12 December 2022
Accepted: 1 March 2023
Published: 16 July 2024
|
Authors |
| Corentin Boissy | |
| Institut Mathématique de
Toulouse Université Paul Sabatier Toulouse France |
|
| Slavyana Geninska | |
| Institut Mathématique de
Toulouse Université Paul Sabatier Toulouse France |
|
| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
Open Access made possible by participating institutions via Subscribe to Open.
