Tropical elliptic curves in 3-space
Combinatorics
2025-07-30 v1 Algebraic Geometry
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.
Cite
@article{arxiv.2507.21958,
title = {Tropical elliptic curves in 3-space},
author = {Laura Casabella and Lars Kastner and Raluca Vlad},
journal= {arXiv preprint arXiv:2507.21958},
year = {2025}
}
Comments
13 pages, 4 figures, comments welcome!