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arXiv · 1705.08308

Tropical moduli spaces of stable maps to a curve

Andreas Gathmann·Hannah Markwig·Dennis Ochse
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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.

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Andreas Gathmann, Hannah Markwig, Dennis Ochse. 2017-05-23. Tropical moduli spaces of stable maps to a curve. https://arxiv.org/abs/1705.08308

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