Specialization of linear systems from curves to graphs

Details Specialization of linear systems from curves to graphs Specialization of linear systems from curves to graphs

2007-01-02

arxiv.org/abs/math/0701075v4

Mathematics

Number Theory

31 pages, 2 figures. Added some applications to tropical geometry and an appendix by Brian Conrad

Scientific paper

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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