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Tropical moduli spaces of stable maps to a curve (1705.08308v1)

Published 23 May 2017 in math.AG

Abstract: We construct moduli spaces of rational covers of an arbitrary smooth tropical curve in Rr as tropical varieties. They are contained in the balanced fan parametrizing tropical stable maps of the appropriate degree to Rr. The weights of the top-dimensional polyhedra are given in terms of certain lattice indices and local Hurwitz numbers.

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