The classes of the quasihomogeneous Hilbert schemes of points on the plane
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| Publication date | 2012 |
| Journal | Moscow Mathematical Journal |
| Volume | Issue number | 12 | 1 |
| Pages (from-to) | 21-36 |
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| Abstract |
Abstract: In this paper we give a formula for the classes (in the Grothendieck ring of complex quasi-projective varieties) of irreducible components of -quasi-homogeneous Hilbert schemes of points on the plane. We find a new simple geometric interpretation of the -Catalan numbers. Finally, we investigate a connection between -quasi-homogeneous Hilbert schemes and homogeneous nested Hilbert schemes. Key words and phrases: Hilbert scheme, torus action, -Catalan numbers. |
| Document type | Article |
| Language | English |
| Published at | http://www.ams.org/distribution/mmj/vol12-1-2012/buryak.pdf |
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