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Brill-Noether theory of squarefree modules supported on a graph

Published 25 Jan 2010 in math.AC and math.CO | (1001.4375v3)

Abstract: We investigate the analogy between squarefree Cohen-Macaulay modules supported on a graph and line bundles on a curve. We prove a Riemann-Roch theorem, we study the Jacobian and gonality of a graph, and we prove Clifford's theorem.

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