Relative systoles in hyperelliptic translation surfaces
Algebraic and Geometric Topology, Tome 24 (2024) no. 4, pp. 1903-1912
Voir la notice de l'article provenant de la source Mathematical Sciences Publishers
We prove that the systole function on a connected component of area-1 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
Affiliations des auteurs :
Boissy, Corentin 1 ; Geninska, Slavyana 1
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author = {Boissy, Corentin and Geninska, Slavyana},
title = {Relative systoles in hyperelliptic translation surfaces},
journal = {Algebraic and Geometric Topology},
pages = {1903--1912},
publisher = {mathdoc},
volume = {24},
number = {4},
year = {2024},
doi = {10.2140/agt.2024.24.1903},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2024.24.1903/}
}
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Boissy, Corentin; Geninska, Slavyana. Relative systoles in hyperelliptic translation surfaces. Algebraic and Geometric Topology, Tome 24 (2024) no. 4, pp. 1903-1912. doi: 10.2140/agt.2024.24.1903
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