English

A Riemann-Roch theorem for edge-weighted graphs

Algebraic Geometry 2017-11-13 v3 Combinatorics

Abstract

We prove a Riemann-Roch theorem for real divisors on edge-weighted graphs over the reals, extending the result of Baker and Norine for integral divisors on graphs with multiple edges.

Keywords

Cite

@article{arxiv.0908.1197,
  title  = {A Riemann-Roch theorem for edge-weighted graphs},
  author = {Rodney James and Rick Miranda},
  journal= {arXiv preprint arXiv:0908.1197},
  year   = {2017}
}

Comments

Minor revisions, 10 pages

R2 v1 2026-06-21T13:33:44.993Z