P-Resolutions of Cyclic Quotients from the Toric Viewpoint

  title={P-Resolutions of Cyclic Quotients from the Toric Viewpoint},
  author={Klaus Altmann},
(1.1) The break through in deformation theory of (two-dimensional) quotient singularities Y was Kollár/Shepherd-Barron’s discovery of the one-to-one correspondence between so-called P-resolutions, on the one hand, and components of the versal base space, on the other hand (cf. [KS], Theorem (3.9)). It generalizes the fact that all deformations admitting a simultaneous (RDP-) resolution form one single component, the Artin component.