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Rank of divisors on graphs: an algebro-geometric analysis

2012/04/16 by Caporaso, Lucia
#05Cxx #14Hxx #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1204.3487

Abstract

The divisor theory for graphs is compared to the theory of linear series on curves through the correspondence associating a curve to its dual graph. An algebro-geometric interpretation of the combinatorial rank is proposed, and proved in some cases.

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