Cox rings of cubic surfaces and Fano threefolds
  We determine the Cox rings of the minimal resolutions of cubic surfaces with at most rational double points, of blow ups of the projective plane at non-general configurations of six points and of three dimensional smooth Fano varieties of Picard numbers one and two. 
Ulrich Derenthal, Juergen Hausen, Armand Heim, Simon Keicher, Antonio   Laface
math.AG