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

作者:Buryak Alexandr*; Feigin Boris Lvovich; Nakajima Hiraku
来源:International Mathematics Research Notices, 2015, 2015(13): 4708-4715.
DOI:10.1093/imrn/rnu076

摘要

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.

  • 出版日期2015

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