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

Alexandr Buryak; Boris Lvovich Feigin; Hiraku Nakajima

doi:10.1093/imrn/rnu076

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

Alexandr Buryak^*
, Boris Lvovich Feigin
, Hiraku Nakajima

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English
Pages (from-to)	4708-4715
Number of pages	8
Journal	International Mathematics Research Notices
Volume	2015
Issue number	13
DOIs	https://doi.org/10.1093/imrn/rnu076
State	Published - 2015
Externally published	Yes

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© The Author(s) 2014. Published by Oxford University Press. All rights reserved.

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

Abstract

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