Specialization of linear systems from curves to graphs
Number Theory
2007-07-05 v4 Algebraic Geometry
Combinatorics
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.
Keywords
Cite
@article{arxiv.math/0701075,
title = {Specialization of linear systems from curves to graphs},
author = {Matthew Baker},
journal= {arXiv preprint arXiv:math/0701075},
year = {2007}
}
Comments
31 pages, 2 figures. Added some applications to tropical geometry and an appendix by Brian Conrad