Mori's program for the moduli space of conics in Grassmannian
  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. 
Kiryong Chung, Han-Bom Moon
math.AG