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