Dawei Chen : The Minimal Model Program for the Kontsevich Space $\overline{\mathcal M}_{0,0}(\mathbb P^{3}, 3)$

Posted by , part of the Algebraic Geometry Seminar.

At

Nov. 15, 2007, 4 p.m.

In

SEO 636

Abstract

We run the log minimal model program for the Kontsevich space of stable maps $\overline{\mathcal M}_{0,0}(\mathbb P^{3}, 3)$ and give geometric interpretations of all the intermediate spaces. In particular, we show that one component of the corresponding Hilbert scheme is the flip of $\overline{\mathcal M}_{0,0}(\mathbb P^{3}, 3)$ over the Chow variety.