The singularities of the principal component of the Hilbert scheme of points
Abstract
Description
We show that the principal component of the Hilbert scheme of 9 points in C^8 is not Cohen-Macaulay.
16 pages. This version significantly improves the author's previous version "On the symmetric subscheme of the Hilbert scheme of points". v2: a minor change in Proposition 6
16 pages. This version significantly improves the author's previous version "On the symmetric subscheme of the Hilbert scheme of points". v2: a minor change in Proposition 6