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We prove that the Chow quotient parametrizing configurations of n points in Pd which generically lie on a rational normal curve is isomorphic to M0,n, generalizing the well-known d = 1 result of Kapra...
Characteristic numbers of rational nodal curves in $\mathbb{P}^3$
Characteristic numbers of rational nodal $\mathbb{P}^3$
2011/1/19
In this paper we compute the number of rational curves with one node passing through a given number of points, lines and tangent to a given number of planes in P3.
On the rational Picard group of the moduli space of curves
rational Picard group moduli space of curves
2011/2/25
We speculate about an algebro-geometric proof of Harer’s theorem on the rational Picard group of the moduli space of smooth complex curves. In particular, we refine the approach of Diaz and Edidin in-...
We show that projective K3 surfaces with odd Picard rank contain infinitely many rational curves. Our proof extends the Bogomolov-Hassett-Tschinkel approach, i.e., uses moduli spaces of stable maps an...