Square-free S-modules with support on a simplicial graph and Brill-Noether theory

Details Square-free S-modules with support on a simplicial graph and Brill-Noether theory Square-free S-modules with support on a simplicial graph and Brill-Noether theory

2010-01-25

arxiv.org/abs/1001.4375v2

Mathematics

Commutative Algebra

16 pages, added referances, minor changes

Scientific paper

We study square-free S-modules with support on a simplicial graph, and investigate an analogy between Cohen--Macaulay modules, locally of rank 1, supported on a connected graph and line bundles on a curve. We use the combinatorial structure of the graph to prove a corresponding Riemann-Roch theorem, we study the Jacobian for a connected graph, and we study Brill-Noether theory for 2-connected graphs.

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