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Some combinatorial identities related to commuting varieties and Hilbert schemes

arXiv:1011.5957 · doi:10.1007/s00208-012-0805-1

Abstract

In this article we explore some of the combinatorial consequences of recent results relating the isospectral commuting variety and the Hilbert scheme of points in the plane.

38 page; with an appendix by Eliana Zoque; Final version, to appear in Math. Ann