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