A simple proof of the formula for the Betti numbers of the quasihomogeneous Hilbert schemes
Abstract
In a recent paper the first two authors proved that the generating series of the Poincare polynomials of the quasihomogeneous Hilbert schemes of points in the plane has a simple decomposition in an infinite product. In this paper we give a very short geometrical proof of that formula.
 Publication:

arXiv eprints
 Pub Date:
 February 2013
 DOI:
 10.48550/arXiv.1302.2789
 arXiv:
 arXiv:1302.2789
 Bibcode:
 2013arXiv1302.2789B
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  Combinatorics
 EPrint:
 Final version, 6 pages