Infinitely many Riemann surfaces with transitive action on Weierstrass points
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866929440949272576 |
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| author | Reyes-Carocca, Sebastián Speziali, Pietro |
| author_facet | Reyes-Carocca, Sebastián Speziali, Pietro |
| contents | In this short note, we prove the existence of infinitely many pairwise non-isomorphic non-hyperelliptic Riemann surfaces with automorphism group acting transitively on the Weierstrass points. We also found all those compact Riemann surfaces with automorphism group acting transitively on the Weierstrass points, under the assumption that they are simple. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_08164 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Infinitely many Riemann surfaces with transitive action on Weierstrass points Reyes-Carocca, Sebastián Speziali, Pietro Algebraic Geometry 14H55, 14H37, 30F35 In this short note, we prove the existence of infinitely many pairwise non-isomorphic non-hyperelliptic Riemann surfaces with automorphism group acting transitively on the Weierstrass points. We also found all those compact Riemann surfaces with automorphism group acting transitively on the Weierstrass points, under the assumption that they are simple. |
| title | Infinitely many Riemann surfaces with transitive action on Weierstrass points |
| topic | Algebraic Geometry 14H55, 14H37, 30F35 |
| url | https://arxiv.org/abs/2211.08164 |