Every toric monoid appears in tropical curve maps to an orthant, yielding a virtual universality theorem for toric singularities in logarithmic maps to Artin fans with rank restrictions.
arXiv:1807.11364 , Title =
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The integral Chow ring of M_0(P^r, 2) is presented as a quotient of a three-variable polynomial ring with all non-trivial relations encoded by two rational generating functions.
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Universality for tropical and logarithmic maps
Every toric monoid appears in tropical curve maps to an orthant, yielding a virtual universality theorem for toric singularities in logarithmic maps to Artin fans with rank restrictions.
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The integral Chow ring of $\mathscr{M}_{0}(\mathbb{P}^r, 2)$
The integral Chow ring of M_0(P^r, 2) is presented as a quotient of a three-variable polynomial ring with all non-trivial relations encoded by two rational generating functions.