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Linear Systems on Edge-Weighted Graphs

Published 2 May 2011 in math.AG and math.CO | (1105.0227v1)

Abstract: 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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Authors (2)

  1. Rodney James 
  2. Rick Miranda 

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