Relative periods of abelian differentials in a prescribed stratum
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915216147611648 |
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| author | Fils, Thomas Le |
| author_facet | Fils, Thomas Le |
| contents | We characterise the elements of $H^1(S, Z, \mathbb C)$, where $S$ is a closed surface and $Z\subset S$ is a finite set, that arise as the relative periods of an abelian differential in a given connected component of a stratum of their moduli space. This generalises a theorem obtained independently by Bainbridge, Johnson, Judge and Park and the author, and answers a question of Filip. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_21285 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Relative periods of abelian differentials in a prescribed stratum Fils, Thomas Le Geometric Topology Complex Variables We characterise the elements of $H^1(S, Z, \mathbb C)$, where $S$ is a closed surface and $Z\subset S$ is a finite set, that arise as the relative periods of an abelian differential in a given connected component of a stratum of their moduli space. This generalises a theorem obtained independently by Bainbridge, Johnson, Judge and Park and the author, and answers a question of Filip. |
| title | Relative periods of abelian differentials in a prescribed stratum |
| topic | Geometric Topology Complex Variables |
| url | https://arxiv.org/abs/2503.21285 |