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Tropical and algebraic elliptic plane curves with fixed j-invariant

Alessio Cela, Sae Koyama

math.AGarXiv:2608.13081

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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