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arXiv · 1302.2789

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

A. Buryak·B. L. Feigin·H. Nakajima
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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.

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A. Buryak, B. L. Feigin, H. Nakajima. 2013-02-12. A simple proof of the formula for the Betti numbers of the quasihomogeneous Hilbert schemes. https://arxiv.org/abs/1302.2789

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