The moduli space of tropical curves with fixed Newton polygon
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866915523114041344 |
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| author | Coles, Desmond Dutta, Neelav Jiang, Sifan Morrison, Ralph Scharf, Andrew |
| author_facet | Coles, Desmond Dutta, Neelav Jiang, Sifan Morrison, Ralph Scharf, Andrew |
| contents | Given a lattice polygon, we study the moduli space of all tropical plane curves with that Newton polygon. We determine a formula for the dimension of this space in terms of combinatorial properties of that polygon. We prove that if this polygon is nonhyperelliptic or maximal and hyperelliptic, then this formula matches the dimension of the moduli space of nondegenerate algebraic curves with that given Newton polygon. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2002_10874 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | The moduli space of tropical curves with fixed Newton polygon Coles, Desmond Dutta, Neelav Jiang, Sifan Morrison, Ralph Scharf, Andrew Algebraic Geometry Combinatorics 14T05, 52B20, 14H10 Given a lattice polygon, we study the moduli space of all tropical plane curves with that Newton polygon. We determine a formula for the dimension of this space in terms of combinatorial properties of that polygon. We prove that if this polygon is nonhyperelliptic or maximal and hyperelliptic, then this formula matches the dimension of the moduli space of nondegenerate algebraic curves with that given Newton polygon. |
| title | The moduli space of tropical curves with fixed Newton polygon |
| topic | Algebraic Geometry Combinatorics 14T05, 52B20, 14H10 |
| url | https://arxiv.org/abs/2002.10874 |