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

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

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

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1093/imrn/rnu076

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title = "A simple proof of the formula for the Betti numbers of the quasihomogeneous Hilbert schemes",

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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year = "2015",

doi = "10.1093/imrn/rnu076",

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AB - 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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DO - 10.1093/imrn/rnu076

M3 - مقالة

SN - 1073-7928

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EP - 4715

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 13

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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