Riemann-Roch theory for weighted graphs and tropical curves

Details Riemann-Roch theory for weighted graphs and tropical curves Riemann-Roch theory for weighted graphs and tropical curves

2011-12-21

arxiv.org/abs/1112.5134v1

Mathematics

Combinatorics

19 Pages

Scientific paper

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.

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