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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

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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:
DateEvent
2013Published
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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