Differential Operators on some Singular Surfaces
R. Hart, S. Paul Smith · Bulletin of the London Mathematical Society · 1987
Let X be an irreducible affine algebraic variety of dimension 2 defined over an algebraically closed field of characteristic zero. Suppose that the normalisation X ˜ of X is non-singular, and the natural projection π: X ˜ → X is injective. Further, suppose that X is Cohen–Macaulay. Then the rings of differential operators D(X) and D( X ˜ ) are Morita equivalent.