Maximal Mumford Curves from Planar Graphs
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910901841428480 |
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| author | Kummer, Mario Sturmfels, Bernd Vlad, Raluca |
| author_facet | Kummer, Mario Sturmfels, Bernd Vlad, Raluca |
| contents | A curve of genus g is maximal Mumford (MM) if it has g+1 ovals and g tropical cycles. We construct full-dimensional families of MM curves in the Hilbert scheme of canonical curves. This rests on first-order deformations of graph curves whose graph is planar. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_11838 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Maximal Mumford Curves from Planar Graphs Kummer, Mario Sturmfels, Bernd Vlad, Raluca Algebraic Geometry Combinatorics A curve of genus g is maximal Mumford (MM) if it has g+1 ovals and g tropical cycles. We construct full-dimensional families of MM curves in the Hilbert scheme of canonical curves. This rests on first-order deformations of graph curves whose graph is planar. |
| title | Maximal Mumford Curves from Planar Graphs |
| topic | Algebraic Geometry Combinatorics |
| url | https://arxiv.org/abs/2404.11838 |