Effective divisor classes on metric graphs

  title={Effective divisor classes on metric graphs},
  author={Andreas Gross and Farbod Shokrieh and Lilla T'othm'er'esz},
  journal={Mathematische Zeitschrift},
We introduce the notion of semibreak divisors on metric graphs (tropical curves) and prove that every effective divisor class (of degree at most the genus) has a semibreak divisor representative. This appropriately generalizes the notion of break divisors (in degree equal to genus). Our method of proof is new, even for the special case of break divisors. We provide an algorithm to efficiently compute such semibreak representatives. Semibreak divisors provide the tool to establish some basic… 

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