Riemann-Roch theory for weighted graphs and tropical curves
Combinatorics
2013-03-07 v3 Algebraic Geometry
Abstract
We define a divisor theory for graphs and tropical curves endowed with a weight function on the vertices; we prove that the Riemann-Roch theorem holds in both cases. We extend Baker's Specialization Lemma to weighted graphs.
Cite
@article{arxiv.1112.5134,
title = {Riemann-Roch theory for weighted graphs and tropical curves},
author = {Omid Amini and Lucia Caporaso},
journal= {arXiv preprint arXiv:1112.5134},
year = {2013}
}
Comments
Final version to appear in Adv. Math., 21 Pages