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arxiv: math/0612129 · v2 · submitted 2006-12-05 · 🧮 math.CO · math.AG

A Riemann-Roch theorem in tropical geometry

classification 🧮 math.CO math.AG
keywords riemann-rochtheoremgraphstropicalabstractbakercurvesdivisors
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Recently, Baker and Norine have proven a Riemann-Roch theorem for finite graphs. We extend their results to metric graphs and thus establish a Riemann-Roch theorem for divisors on (abstract) tropical curves.

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