paper

The singularities of the principal component of the Hilbert scheme of points

arXiv:0805.3672

Abstract

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

The singularities of the principal component of the Hilbert scheme of points · wovepaper