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arxiv: 1302.2789 · v3 · pith:4LWZ5EH7new · submitted 2013-02-12 · 🧮 math.AG · math.CO

A simple proof of the formula for the Betti numbers of the quasihomogeneous Hilbert schemes

classification 🧮 math.AG math.CO
keywords formulahilbertproofquasihomogeneousschemessimpleauthorsbetti
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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.

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