Linear Systems on Edge-Weighted Graphs

Details Linear Systems on Edge-Weighted Graphs Linear Systems on Edge-Weighted Graphs

2011-05-02

arxiv.org/abs/1105.0227v1

Mathematics

Algebraic Geometry

11 pages

Scientific paper

Let R be any subring of the reals. We present a generalization of linear
systems on graphs where divisors are R-valued functions on the set of vertices
and graph edges are permitted to have nonegative weights in R. Using this
generalization, we provide an independent proof of a Riemann-Roch formula,
which implies the Riemann-Roch formula of Baker and Norine.

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