Abstract
We study the algebraic rank of a divisor on a graph, an invariant defined using divisors on algebraic curves dual to the graph. We prove it satisfies the Riemann-Roch formula, a specialization property, and the Clifford inequality. We prove that it is at most equal to the (usual) combinatorial rank, and that equality holds in many cases, though not in general.
Original language | English |
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Pages (from-to) | 227-257 |
Journal | Journal de Mathématiques Pures et Appliquées |
Volume | 104 |
Publication status | Published - 2014 |