CYCLIC HOMOLOGY OF ALGEBRAIC HYPERSURFACES

[摘要] A formula is given for the cyclic homology of commutative algebras of the form k[x1,...,x(r)]/ (P) with P a weighted homogeneous polynomial. For r less-than-or-equal-to 3, we have explicit results: HC2n(k[x1, x2]/(P)) = k for n > 0, [GRAPHICS] if P is irreducible; HC2n+1 (k[x1, x2, x3]/(P)) = 0 and [GRAPHICS] for n > 0 if P is irreducible and has only an isolated singularity at the origin.

[发布日期] 1991-07-01