Relative systoles in hyperelliptic translation surfaces

Autor: Boissy, Corentin, Geninska, Slavyana
Rok vydání: 2020
Předmět:
Zdroj: Algebr. Geom. Topol. 24 (2024) 1903-1912
Druh dokumentu: Working Paper
DOI: 10.2140/agt.2024.24.1903
Popis: 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.
Databáze: arXiv