A Riemann-Roch theorem in tropical geometry

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Abstract

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. © 2007 Springer-Verlag.

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Gathmann, A., & Kerber, M. (2008). A Riemann-Roch theorem in tropical geometry. Mathematische Zeitschrift, 259(1), 217–230. https://doi.org/10.1007/s00209-007-0222-4

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