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arxiv: 1112.5134 · v3 · pith:SA33OCXLnew · submitted 2011-12-21 · 🧮 math.CO · math.AG

Riemann-Roch theory for weighted graphs and tropical curves

classification 🧮 math.CO math.AG
keywords graphscurvesriemann-rochtheorytropicalweightedbakercases
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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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