Riemann-Roch theory for weighted graphs and tropical curves

Omid Amini; Lucia Caporaso

doi:10.1016/j.aim.2013.03.003

Riemann-Roch theory for weighted graphs and tropical curves

Omid Amini
, Lucia Caporaso

University Roma Tre

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We define a divisor theory for graphs and tropical curves endowed with a weight function on the vertices; we prove that the Riemann-Roch theorem holds in both cases. We extend Baker's Specialization Lemma to weighted graphs.

langue originale	Anglais
Pages (de - à)	1-23
Nombre de pages	23
journal	Advances in Mathematics
Volume	240
Les DOIs	https://doi.org/10.1016/j.aim.2013.03.003
état	Publié - 1 juin 2013

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10.1016/j.aim.2013.03.003

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title = "Riemann-Roch theory for weighted graphs and tropical curves",

abstract = "We define a divisor theory for graphs and tropical curves endowed with a weight function on the vertices; we prove that the Riemann-Roch theorem holds in both cases. We extend Baker's Specialization Lemma to weighted graphs.",

keywords = "Algebraic curve, Divisor, Graph, Riemann-Roch, Tropical curve, Weighted graph",

author = "Omid Amini and Lucia Caporaso",

year = "2013",

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doi = "10.1016/j.aim.2013.03.003",

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T1 - Riemann-Roch theory for weighted graphs and tropical curves

AU - Amini, Omid

AU - Caporaso, Lucia

PY - 2013/6/1

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N2 - We define a divisor theory for graphs and tropical curves endowed with a weight function on the vertices; we prove that the Riemann-Roch theorem holds in both cases. We extend Baker's Specialization Lemma to weighted graphs.

AB - We define a divisor theory for graphs and tropical curves endowed with a weight function on the vertices; we prove that the Riemann-Roch theorem holds in both cases. We extend Baker's Specialization Lemma to weighted graphs.

KW - Algebraic curve

KW - Divisor

KW - Graph

KW - Riemann-Roch

KW - Tropical curve

KW - Weighted graph

UR - https://www.scopus.com/pages/publications/84875673485

U2 - 10.1016/j.aim.2013.03.003

DO - 10.1016/j.aim.2013.03.003

M3 - Article

AN - SCOPUS:84875673485

SN - 0001-8708

VL - 240

SP - 1

EP - 23

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Riemann-Roch theory for weighted graphs and tropical curves

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