Rank of divisors on tropical curves

@article{Hladk2013RankOD,
  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},
  year={2013},
  volume={120},
  pages={1521-1538}
}
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

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 19 references

Tropical geometry and its applications

Grigory Mikhalkin
2008
View 1 Excerpt

Norine : RiemannRoch and AbelJacobi theory on a finite graph

S. M. Baker
Adv . Math . • 2007

Gathmann : Tropical algebraic geometry

A.
Jahresbericht der DMV • 2006

Mikhalkin : Tropical geometry , book in preparation

G.
International Congress of Mathematicians • 2006

Shapiro : Trees , parking functions , syzygies , and deformations of monomial ideals

B. A. Postnikov
Trans . Amer . Math . Soc . • 2004

Polynomial Bound for a Chip Firing Game on Graphs

SIAM J. Discrete Math. • 1988
View 1 Excerpt

Similar Papers

Loading similar papers…