On blowing up the weighted projective plane
  We investigate the blow-up of a weighted projective plane at a general point. We provide criteria and algorithms for testing if the result is a Mori dream surface and we compute the Cox ring in several cases. Moreover applications to the study of $\overline{M}_{0,n}$ are discussed. 
Juergen Hausen, Simon Keicher and Antonio Laface
math.AG