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 journalArticlepeer-review

3 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 languageEnglish
Pages (from-to)4708-4715
Number of pages8
JournalInternational Mathematics Research Notices
Volume2015
Issue number13
DOIs
StatePublished - 2015
Externally publishedYes

Bibliographical note

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

Fingerprint

Dive into the research topics of 'A simple proof of the formula for the Betti numbers of the quasihomogeneous Hilbert schemes'. Together they form a unique fingerprint.

Cite this