Generating Series of the Poincaré Polynomials of Quasihomogeneous Hilbert Schemes
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| Publication date | 2013 |
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| Book title | Symmetries, Integrable Systems and Representations |
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| Series | Springer Proceedings in Mathematics & Statistics |
| Event | Symmetries, Integrable Systems and Representation |
| Pages (from-to) | 15-33 |
| Publisher | London: Springer |
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| 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 slˆm . |
| Document type | Conference contribution |
| Language | English |
| Published at |
https://doi.org/10.1007/978-1-4471-4863-0_2
(Final published version)
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