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Riemann-Roch theory for weighted graphs and tropical curves

Published 21 Dec 2011 in math.CO and math.AG | (1112.5134v3)

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.

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