Tropical curves in abelian surfaces I: enumeration of curves passing through points
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912133068881920 |
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| author | Blomme, Thomas |
| author_facet | Blomme, Thomas |
| contents | This paper is the first part in a series of three papers devoted to the study of enumerative invariants of abelian surfaces through the tropical approach. In this paper, we consider the enumeration of genus $g$ curves of fixed degree passing through $g$ points. We compute the multiplicity provided by a correspondence theorem due to T. Nishinou and show that it is possible to refine this multiplicity in the style of Block-Göttsche to get tropical refined invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_07250 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Tropical curves in abelian surfaces I: enumeration of curves passing through points Blomme, Thomas Algebraic Geometry This paper is the first part in a series of three papers devoted to the study of enumerative invariants of abelian surfaces through the tropical approach. In this paper, we consider the enumeration of genus $g$ curves of fixed degree passing through $g$ points. We compute the multiplicity provided by a correspondence theorem due to T. Nishinou and show that it is possible to refine this multiplicity in the style of Block-Göttsche to get tropical refined invariants. |
| title | Tropical curves in abelian surfaces I: enumeration of curves passing through points |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2202.07250 |