L. N. Long

On the De Rham Cohomology of Zero-Dimensional Schemes

The (naive) de Rham cohomology of a zero-dimensional scheme is the homology of the K\"ahler differential algebra of its coordinate ring, viewed as a complex. Since it is well-known to vanish in higher degrees if the ring is quasi-homogeneous, we concentrate on the affine case. For a general affine $K$-algebra $R=P/I$,...