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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.20025 |
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| _version_ | 1866908963322200064 |
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| author | Cavalieri, Renzo Dawson, Erin |
| author_facet | Cavalieri, Renzo Dawson, Erin |
| contents | We define the tropical Tevelev degrees, $\mathsf{Tev}_g^{trop}$, as the degree of a natural finite morphism between certain tropical moduli spaces, in analogy to the algebraic case. We develop an explicit combinatorial construction that computes $\mathsf{Tev}_g^{trop} = 2^g$. We prove that these tropical enumerative invariants agree with their algebraic counterparts, giving an independent tropical computation of the algebraic degrees $Tev_g$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_20025 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tropical Tevelev degrees Cavalieri, Renzo Dawson, Erin Algebraic Geometry We define the tropical Tevelev degrees, $\mathsf{Tev}_g^{trop}$, as the degree of a natural finite morphism between certain tropical moduli spaces, in analogy to the algebraic case. We develop an explicit combinatorial construction that computes $\mathsf{Tev}_g^{trop} = 2^g$. We prove that these tropical enumerative invariants agree with their algebraic counterparts, giving an independent tropical computation of the algebraic degrees $Tev_g$. |
| title | Tropical Tevelev degrees |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2407.20025 |