Tropical invariants for binary quintics and reduction types of Picard curves
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866912056951701504 |
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| author | Helminck, Paul Alexander Maazouz, Yassine El Kaya, Enis |
| author_facet | Helminck, Paul Alexander Maazouz, Yassine El Kaya, Enis |
| contents | We express the reduction types of Picard curves in terms of tropical invariants associated to binary quintics. We also give a general framework for tropical invariants associated to group actions on arbitrary varieties. The problem of finding tropical invariants for binary forms fits in this general framework by mapping the space of binary forms to symmetrized versions of the Deligne-Mumford compactification $\overline{M}_{0,n}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_00420 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Tropical invariants for binary quintics and reduction types of Picard curves Helminck, Paul Alexander Maazouz, Yassine El Kaya, Enis Algebraic Geometry Number Theory 14T20, 13A50, 11G20 We express the reduction types of Picard curves in terms of tropical invariants associated to binary quintics. We also give a general framework for tropical invariants associated to group actions on arbitrary varieties. The problem of finding tropical invariants for binary forms fits in this general framework by mapping the space of binary forms to symmetrized versions of the Deligne-Mumford compactification $\overline{M}_{0,n}$. |
| title | Tropical invariants for binary quintics and reduction types of Picard curves |
| topic | Algebraic Geometry Number Theory 14T20, 13A50, 11G20 |
| url | https://arxiv.org/abs/2206.00420 |