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Some combinatorial identities related to commuting varieties and Hilbert schemes

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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.

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Authors and Affiliations

  1. Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111, Bonn, Germany

    Gwyn Bellamy

  2. Department of Mathematics, University of Chicago, Chicago, IL, 60637, USA

    Victor Ginzburg

Authors
  1. Gwyn Bellamy
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  2. Victor Ginzburg
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Correspondence to Gwyn Bellamy.

Additional information

The research of the first author was supported through the programme “Oberwolfach Leibinz Fellows” by the Mathematisches Forshungsinstitut Oberwolfach in 2010. The research of the second author was supported in part by the NSF award DMS-1001677.

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Bellamy, G., Ginzburg, V. Some combinatorial identities related to commuting varieties and Hilbert schemes. Math. Ann. 355, 801–847 (2013). https://doi.org/10.1007/s00208-012-0805-1

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  • DOI: https://doi.org/10.1007/s00208-012-0805-1

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