Cyclic homology of affine hypersurfaces with isolated Singularities Original Research Article

We consider reduced, affine hypersurfaces with only isolated singularities. We give an explicit computation of the Hodge-components of their cyclic homology in terms of de Rham cohomology and torsion modules of differentials for large n. It turns out that the vector spaces HCn(A) are finite dimensional for n ≥ N − 1.