Generating series of the poincaré polynomials of quasihomogeneous hilbert schemes

A. Buryak; B. L. Feigin

doi:10.1007/978-1-4471-4863-0_2

Generating series of the poincaré polynomials of quasihomogeneous hilbert schemes

A. Buryak
, B. L. Feigin

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper we prove that the generating series of the Poincaré polynomials of quasihomogeneous Hilbert schemes of points in the plane has a beautiful decomposition into an infinite product. We also compute the generating series of the numbers of quasihomogeneous components in a moduli space of sheaves on the projective plane. The answer is given in terms of characters of the affine Lie algebra slm.

Original language	English
Title of host publication	Symmetries, Integrable Systems and Representations
Pages	15-33
Number of pages	19
DOIs	https://doi.org/10.1007/978-1-4471-4863-0_2
State	Published - 2013
Externally published	Yes

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	40

ASJC Scopus subject areas

General Mathematics

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10.1007/978-1-4471-4863-0_2

Cite this

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title = "Generating series of the poincar{\'e} polynomials of quasihomogeneous hilbert schemes",

abstract = "In this paper we prove that the generating series of the Poincar{\'e} polynomials of quasihomogeneous Hilbert schemes of points in the plane has a beautiful decomposition into an infinite product. We also compute the generating series of the numbers of quasihomogeneous components in a moduli space of sheaves on the projective plane. The answer is given in terms of characters of the affine Lie algebra slm.",

author = "A. Buryak and Feigin, \{B. L.\}",

year = "2013",

doi = "10.1007/978-1-4471-4863-0\_2",

language = "English",

isbn = "9781447148623",

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AU - Buryak, A.

AU - Feigin, B. L.

PY - 2013

Y1 - 2013

N2 - In this paper we prove that the generating series of the Poincaré polynomials of quasihomogeneous Hilbert schemes of points in the plane has a beautiful decomposition into an infinite product. We also compute the generating series of the numbers of quasihomogeneous components in a moduli space of sheaves on the projective plane. The answer is given in terms of characters of the affine Lie algebra slm.

AB - In this paper we prove that the generating series of the Poincaré polynomials of quasihomogeneous Hilbert schemes of points in the plane has a beautiful decomposition into an infinite product. We also compute the generating series of the numbers of quasihomogeneous components in a moduli space of sheaves on the projective plane. The answer is given in terms of characters of the affine Lie algebra slm.

UR - https://www.scopus.com/pages/publications/84883437903

U2 - 10.1007/978-1-4471-4863-0_2

DO - 10.1007/978-1-4471-4863-0_2

M3 - Conference contribution

SN - 9781447148623

T3 - Springer Proceedings in Mathematics and Statistics

SP - 15

EP - 33

BT - Symmetries, Integrable Systems and Representations

ER -

Generating series of the poincaré polynomials of quasihomogeneous hilbert schemes

Abstract

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ASJC Scopus subject areas

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