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Search: MSC category 14D22 ( Fine and coarse moduli spaces )

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1. CJM 2012 (vol 65 pp. 120)

Francois, Georges; Hampe, Simon
Universal Families of Rational Tropical Curves
We introduce the notion of families of $n$-marked smooth rational tropical curves over smooth tropical varieties and establish a one-to-one correspondence between (equivalence classes of) these families and morphisms from smooth tropical varieties into the moduli space of $n$-marked abstract rational tropical curves $\mathcal{M}_{n}$.

Keywords:tropical geometry, universal family, rational curves, moduli space
Categories:14T05, 14D22

2. CJM 1999 (vol 51 pp. 1089)

Vakil, Ravi
The Characteristic Numbers of Quartic Plane Curves
The characteristic numbers of smooth plane quartics are computed using intersection theory on a component of the moduli space of stable maps. This completes the verification of Zeuthen's prediction of characteristic numbers of smooth plane curves. A short sketch of a computation of the characteristic numbers of plane cubics is also given as an illustration.

Categories:14N10, 14D22

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