Weierstrass gap sequences and their weights on tropical curves
Algebraic Geometry
2026-03-23 v1
Abstract
Given a divisor on a tropical curve, we associate to each point of the curve a Weierstrass gap sequence. We investigate structural properties of these gap sequences and explore their relationship with the Weierstrass gap sequences of line bundles on algebraic curves via the tropicalization process.
Keywords
Cite
@article{arxiv.2603.19393,
title = {Weierstrass gap sequences and their weights on tropical curves},
author = {Omid Amini and Shu Kawaguchi},
journal= {arXiv preprint arXiv:2603.19393},
year = {2026}
}
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28 pages