Avoidance loci and tropicalizations of real bitangents to plane quartics
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866909395095388160 |
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| author | Markwig, Hannah Payne, Sam Shaw, Kris |
| author_facet | Markwig, Hannah Payne, Sam Shaw, Kris |
| contents | We compare two partitions of real bitangents to smooth plane quartics into sets of 4: one coming from the closures of connected components of the avoidance locus and another coming from tropical geometry. When both are defined, we use the Tarski principle for real closed fields in combination with the topology of real plane quartics and the tropical geometry of bitangents and theta characteristics to show that they coincide. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_07837 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Avoidance loci and tropicalizations of real bitangents to plane quartics Markwig, Hannah Payne, Sam Shaw, Kris Algebraic Geometry 14N10, 14T20, 14P25 We compare two partitions of real bitangents to smooth plane quartics into sets of 4: one coming from the closures of connected components of the avoidance locus and another coming from tropical geometry. When both are defined, we use the Tarski principle for real closed fields in combination with the topology of real plane quartics and the tropical geometry of bitangents and theta characteristics to show that they coincide. |
| title | Avoidance loci and tropicalizations of real bitangents to plane quartics |
| topic | Algebraic Geometry 14N10, 14T20, 14P25 |
| url | https://arxiv.org/abs/2303.07837 |