4.2 Article

Specialization of linear systems from curves to graphs

Journal

ALGEBRA & NUMBER THEORY
Volume 2, Issue 6, Pages 613-653

Publisher

MATHEMATICAL SCIENCE PUBL
DOI: 10.2140/ant.2008.2.613

Keywords

arithmetic surface; specialization; dual graph; reduction graph; Brill-Noether theory; Weierstrass point; tropical geometry

Categories

Funding

  1. NSF [DMS-0600027, DMS-0600919]

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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.

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