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arXiv · 2507.21958

Tropical elliptic curves in 3-space

Laura Casabella·Lars Kastner·Raluca Vlad
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Abstract

We classify trivalent graphs with 16 vertices and 16 edges that arise from intersecting two quadratic surfaces in tropical 3-space. There are 4,009 such graphs, representing maximally degenerate stable models of elliptic curves realized as tropical complete intersections of two quadrics. Our classification is derived from 405,246,030 regular unimodular triangulations of the 4-dimensional Cayley polytope.

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Laura Casabella, Lars Kastner, Raluca Vlad. 2025-07-29. Tropical elliptic curves in 3-space. https://arxiv.org/abs/2507.21958

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