A Riemann-Roch theorem in tropical geometry
Combinatorics
2007-07-11 v2 Algebraic Geometry
Abstract
Recently, Baker and Norine have proven a Riemann-Roch theorem for finite graphs. We extend their results to metric graphs and thus establish a Riemann-Roch theorem for divisors on (abstract) tropical curves.
Cite
@article{arxiv.math/0612129,
title = {A Riemann-Roch theorem in tropical geometry},
author = {Andreas Gathmann and Michael Kerber},
journal= {arXiv preprint arXiv:math/0612129},
year = {2007}
}
Comments
14 pages; minor changes to match the published version