Tropical moduli spaces of stable maps to a curve
Algebraic Geometry
2017-05-24 v1
Abstract
We construct moduli spaces of rational covers of an arbitrary smooth tropical curve in R^r as tropical varieties. They are contained in the balanced fan parametrizing tropical stable maps of the appropriate degree to R^r. The weights of the top-dimensional polyhedra are given in terms of certain lattice indices and local Hurwitz numbers.
Keywords
Cite
@article{arxiv.1705.08308,
title = {Tropical moduli spaces of stable maps to a curve},
author = {Andreas Gathmann and Hannah Markwig and Dennis Ochse},
journal= {arXiv preprint arXiv:1705.08308},
year = {2017}
}
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21 pages