Intersection Theory on Abelian-Quotient $V$-Surfaces and   $\mathbf{Q}$-Resolutions
  In this paper we study the intersection theory on surfaces with abelian quotient singularities and we derive properties of quotients of weighted projective planes. We also use this theory to study weighted blow-ups in order to construct embedded $\mathbf{Q}$-resolutions of plane curve singularities and abstract $\mathbf{Q}$-resolutions of surfaces. 
Enrique Artal Bartolo, Jorge Mart\'in-Morales, Jorge Ortigas-Galindo
math.AG