Cohomology Rings of Moduli of Point Configurations on the Projective   Line
  We describe the Chow rings of moduli spaces of ordered configurations of points on the projective line for arbitrary (sufficiently generic) stabilities. As an application, we exhibit such a moduli space admitting two small desingularizations with non-isomorphic cohomology rings. 
Hans Franzen, Markus Reineke
math.AG math.RT