A Riemann-Roch theorem for edge-weighted graphs

DOI10.1090/S0002-9939-2013-11671-0zbMath1270.05053arXiv0908.1197MaRDI QIDQ2846905

Rick Miranda, Rodney James

Publication date: 4 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.1197

zbMATH Keywords

edge-weighted graphsreal divisorsgraphs with multiple edgesintegral divisorsRiemann-Rocj theorem

Mathematics Subject Classification ID

Paths and cycles (05C38) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Riemann-Roch theorems (14C40) Signed and weighted graphs (05C22)

Related Items

A Riemann-Roch Theorem on Infinite Graphs ⋮ Sparse Graphs of High Gonality ⋮ Generalized Riemann functions, their weights, and the complete graph ⋮ Brill-Noether existence on graphs via \(\mathbb{R}\)-divisors, polytopes and lattices ⋮ Riemann-Roch Theory on finite sets

Cites Work

• Riemann-Roch and Abel-Jacobi theory on a finite graph
• A Riemann-Roch theorem in tropical geometry
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