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arXiv · 2212.08157

Moduli Spaces of Rational Graphically Stable Curves

Andy Fry
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Abstract

We use a graph to define a new stability condition for algebraic moduli spaces of rational curves. We characterize when the tropical compactification of the moduli space agrees with the theory of geometric tropicalization. The characterization statement occurs only when the graph is complete multipartite.

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Andy Fry. 2022-12-15. Moduli Spaces of Rational Graphically Stable Curves. https://doi.org/10.1017/s0305004125101370

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