Relative systoles in hyperelliptic translation surfaces
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
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| _version_ | 1866929430767599616 |
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| author | Boissy, Corentin Geninska, Slavyana |
| author_facet | Boissy, Corentin Geninska, Slavyana |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2007_16086 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Relative systoles in hyperelliptic translation surfaces Boissy, Corentin Geninska, Slavyana Geometric Topology 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. |
| title | Relative systoles in hyperelliptic translation surfaces |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2007.16086 |