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Divisors and harmonic morphisms on metric Graphs of pseudocompact type

Mascuch, Benjamin et al.
arXiv (All) · Papers
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algebraic-geometrycombinatorics
A metric graph is of pseudocompact type if identifying parallel edges produces a tree. We give a constructive proof that, for such graphs, divisorial $d$-gonality is equivalent to the existence of a degree $d$ harmonic morphism to a tree. This mirrors the algebraic correspondence, for curves of comp
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