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arXiv · 2501.16927

Tropical rational curves with first order tangency via WDVV

Anantadulal Paul·Aditya Subramaniam
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Abstract

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.

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Anantadulal Paul, Aditya Subramaniam. 2025-01-28. Tropical rational curves with first order tangency via WDVV. https://arxiv.org/abs/2501.16927

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