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:
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arXiv e-prints
- Pub Date:
- February 2013
- DOI:
- 10.48550/arXiv.1302.2789
- arXiv:
- arXiv:1302.2789
- Bibcode:
- 2013arXiv1302.2789B
- Keywords:
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- Mathematics - Algebraic Geometry;
- Mathematics - Combinatorics
- E-Print:
- Final version, 6 pages