Open Access
2008 Specialization of linear systems from curves to graphs
Matthew Baker
Algebra Number Theory 2(6): 613-653 (2008). DOI: 10.2140/ant.2008.2.613

Abstract

We investigate the interplay between linear systems on curves and graphs in the context of specialization of divisors on an arithmetic surface. We also provide some applications of our results to graph theory, arithmetic geometry, and tropical geometry.

Citation

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Matthew Baker. "Specialization of linear systems from curves to graphs." Algebra Number Theory 2 (6) 613 - 653, 2008. https://doi.org/10.2140/ant.2008.2.613

Information

Received: 21 February 2008; Revised: 13 May 2008; Accepted: 12 June 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1162.14018
MathSciNet: MR2448666
Digital Object Identifier: 10.2140/ant.2008.2.613

Subjects:
Primary: 05C99 , 14H25
Secondary: 14H51 , 14H55

Keywords: arithmetic surface , Brill–Noether theory , dual graph , reduction graph , specialization , Tropical geometry , Weierstrass point

Rights: Copyright © 2008 Mathematical Sciences Publishers

Vol.2 • No. 6 • 2008
MSP
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