Log canonical models for the moduli space of pointed stable rational   curves
  We run Mori's program for the moduli space of pointed stable rational curves with divisor $K +\sum a_{i}\psi_{i}$. We prove that, without assuming the F-conjecture, the birational model for the pair is the Hassett's moduli space of weighted pointed stable rational curves, without any modification of weight coefficients. 
Han-Bom Moon
math.AG