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Статья

A Simple Proof of the Formula for the Betti Numbers of the Quasihomogeneous Hilbert Schemes

Buryak A., Feigin B. L., Nakajima H.

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.