Hochschild and cyclic homology of hypersurfaces (Q1199765)

Let \(k\) be a commutative ring and let \(f\in k[X_ 1,\dots,X_ n]\) be a polynomial. The aim of the paper under review is twofold: (1) To compute the Hochschild homology and cohomology ring of \(A=k[X_ 1,\dots,X_ n]/(f)\), and (2) To compute the cyclic homology of \(A\) in the case when \(k\supseteq\mathbb{Q}\), \(f\) is homogeneous and the vertex of the cone defined by \(f\) is the only singularity of it.