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arXiv · 2608.13081

Tropical and algebraic elliptic plane curves with fixed j-invariant

Alessio Cela·Sae Koyama
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Abstract

We tropically enumerate planar well-spaced elliptic curves with a fixed $j$-invariant. Combined with the recent genus 1 correspondence theorem of Cela--Koyama, this yields an alternative proof of Pandharipande's algebraic enumeration.

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Alessio Cela, Sae Koyama. 2026-08-13. Tropical and algebraic elliptic plane curves with fixed j-invariant. https://arxiv.org/abs/2608.13081

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