Mori's program for the moduli space of conics in Grassmannian
arXiv:1608.00181
Abstract
We complete Mori's program for Kontsevich's moduli space of degree 2 stable maps to Grassmannian of lines. We describe all birational models in terms of moduli spaces (of curves and sheaves), incidence varieties, and Kirwan's partial desingularization.
25 pages