The Riemann–Roch theorem for metric graphs
نویسنده
چکیده
Throughout the text, Γ will be a metric graph; that is, a finite one-dimensional CW-complex with a metric on it. We can also describe Γ with combinatorial data, by giving a graph G “ pV,Eq with a length function E Ñ Rą0 on the edges. Such a weighted graph will be called a graph representation of Γ. We will assume that such a graph representation has no loops (if it does, we add a vertex somewhere in the loop). All (metric) graphs are assumed to be connected.
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