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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.16927 |
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| _version_ | 1866912207259828224 |
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| author | Paul, Anantadulal Subramaniam, Aditya |
| author_facet | Paul, Anantadulal Subramaniam, Aditya |
| contents | In this article, we study the tropical counterpart of the enumeration of rational curves in $\mathbb{CP}^2$ with first order tangency. We use the tropical analogue of the WDVV technique to compute rational tropical plane curves of degree $d$ tangent to a degree $l$ tropical plane curve and passing through $3d-2$ points in general position. As Mikhalkin's correspondence suggests, our numbers agree with earlier results on tangency in complex geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_16927 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tropical rational curves with first order tangency via WDVV Paul, Anantadulal Subramaniam, Aditya Algebraic Geometry 14N10, 14T05 In this article, we study the tropical counterpart of the enumeration of rational curves in $\mathbb{CP}^2$ with first order tangency. We use the tropical analogue of the WDVV technique to compute rational tropical plane curves of degree $d$ tangent to a degree $l$ tropical plane curve and passing through $3d-2$ points in general position. As Mikhalkin's correspondence suggests, our numbers agree with earlier results on tangency in complex geometry. |
| title | Tropical rational curves with first order tangency via WDVV |
| topic | Algebraic Geometry 14N10, 14T05 |
| url | https://arxiv.org/abs/2501.16927 |