Tropical elliptic curves in 3-space
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916868989648896 |
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| author | Casabella, Laura Kastner, Lars Vlad, Raluca |
| author_facet | Casabella, Laura Kastner, Lars Vlad, Raluca |
| contents | We classify trivalent graphs with 16 vertices and 16 edges that arise from intersecting two quadratic surfaces in tropical 3-space. There are 4,009 such graphs, representing maximally degenerate stable models of elliptic curves realized as tropical complete intersections of two quadrics. Our classification is derived from 405,246,030 regular unimodular triangulations of the 4-dimensional Cayley polytope. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_21958 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tropical elliptic curves in 3-space Casabella, Laura Kastner, Lars Vlad, Raluca Combinatorics Algebraic Geometry 14T15, 52B20, 52B55 We classify trivalent graphs with 16 vertices and 16 edges that arise from intersecting two quadratic surfaces in tropical 3-space. There are 4,009 such graphs, representing maximally degenerate stable models of elliptic curves realized as tropical complete intersections of two quadrics. Our classification is derived from 405,246,030 regular unimodular triangulations of the 4-dimensional Cayley polytope. |
| title | Tropical elliptic curves in 3-space |
| topic | Combinatorics Algebraic Geometry 14T15, 52B20, 52B55 |
| url | https://arxiv.org/abs/2507.21958 |