Rank of divisors on tropical curves

  title={Rank of divisors on tropical curves},
  author={Jan Hladk{\'y} and Daniel Kr{\'a}l and Serguei Norine},
  journal={J. Comb. Theory, Ser. A},
We investigate, using purely combinatorial methods, structural and algorithmic properties of linear equivalence classes of divisors on tropical curves. In particular, an elementary proof of the RiemannRoch theorem for tropical curves, similar to the recent proof of the Riemann-Roch theorem for graphs by Baker and Norine, is presented. In addition, a conjecture of Baker asserting that the rank of a divisor D on a (non-metric) graph is equal to the rank of D on the corresponding metric graph is… CONTINUE READING

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