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Rank of divisors on tropical curves
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Hladký, Jan, Králʼ, Daniel and Norine, Serguei (2013) Rank of divisors on tropical curves. Journal of Combinatorial Theory, Series A, Volume 120 (Number 7). pp. 1521-1538. doi:10.1016/j.jcta.2013.05.002
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Official URL: http://dx.doi.org/10.1016/j.jcta.2013.05.002
Abstract
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.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Library of Congress Subject Headings (LCSH): | Curves, Algebraic, Algorithms | ||||
| Journal or Publication Title: | Journal of Combinatorial Theory, Series A | ||||
| Publisher: | Elsevier BV | ||||
| ISSN: | 0097-3165 | ||||
| Official Date: | 2013 | ||||
| Dates: |
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| Volume: | Volume 120 | ||||
| Number: | Number 7 | ||||
| Page Range: | pp. 1521-1538 | ||||
| DOI: | 10.1016/j.jcta.2013.05.002 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Funder: | KONTAKT ME (KM), National Science Foundation (U.S.) (NSF) | ||||
| Grant number: | 885 (KM) ; DMS-0200595, DMS-0701033 (NSF) |
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