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arXiv · 1112.5134

Riemann-Roch theory for weighted graphs and tropical curves

Omid Amini·Lucia Caporaso
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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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Omid Amini, Lucia Caporaso. 2013-03-06. Riemann-Roch theory for weighted graphs and tropical curves. https://arxiv.org/abs/1112.5134

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