SMOOTHNESS AND HOCHSCHILD HOMOLOGY OF HOMOGENEOUS COMPLETE-INTERSECTIONS

Let K be a field of characteristic zero, I an ideal of K [X1, ..., X(n)] generated by a regular sequence of homogeneous polynomials and A = K[X1, ..., X(n)]/I. If the Hochschild homology H(p) (A, A) = 0 for some p greater-than-or-equal-to 0 then A is a polynomial algebra over K.