Geodesic
Tropical moduli spaces of rational graphically stable curves
Andy Fry1
1Lewis and Clark College
The electronic journal of combinatorics, Tome 30 (2023) no. 4
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The tropical moduli space $\mathcal{M}_{0,n}^{\textrm{trop}}$ is a cone complex which parameterizes leaf-labeled metric trees called tropical curves. We introduce graphic stability and describe a refinement of the cone complex given by radial alignment. We prove that given a complete multipartite graph $\Gamma$, the moduli space of radially aligned $\Gamma$-stable tropical curves can be given the structure of a balanced fan. This fan structure coincides with the Bergman fan of the cycle matroid of $\Gamma$.
DOI : 10.37236/11337
Classification : 05E14, 05C05, 05C22, 05C78, 14T15, 14D22, 05B35
Mots-clés : Bergman fan, cycle matroid

Andy Fry  1

1 Lewis and Clark College 
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     author = {Andy Fry},
     title = {Tropical moduli spaces of rational graphically stable curves},
     journal = {The electronic journal of combinatorics},
     year = {2023},
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     doi = {10.37236/11337},
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Andy Fry. Tropical moduli spaces of rational graphically stable curves. The electronic journal of combinatorics, Tome 30 (2023) no. 4. doi: 10.37236/11337

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