Publication details
Rank of divisors on tropical curves
| Authors | |
|---|---|
| Year of publication | 2013 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Combinatorial Theory, Series A |
| Citation | |
| Doi | http://dx.doi.org/10.1016/j.jcta.2013.05.002 |
| Keywords | Tropical geometry; Tropical curves; Rank of divisor |
| Description | We investigate, using purely combinatorial methods, structural and algorithmic properties of linear equivalence classes of divisors on tropical curves. In particular, we confirm 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, and construct an algorithm for computing the rank of a divisor on a tropical curve. (C) 2013 Elsevier Inc. All rights reserved. |