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@inproceedings{Gathmann2006ART, title={A Riemann-roch Theorem in Tropical Geometry}, author={Andreas Gathmann and M. Kerber}, year={2006} }

- Published 2006

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. Tropical algebraic geometry is a recent branch of mathematics that establishes deep relations between algebro-geometric and purely combinatorial objects. Ideally, every construction and theorem of algebraic geometry should have a tropical (i.e. combinatorial) counterpart that is then… CONTINUE READING

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