Compactified Jacobians and q,t-Catalan Numbers, I

preprint2012arXivOpen access

Abstract

J. Piontkowski described the homology of the Jacobi factor of a plane curve singularity with one Puiseux pair. We discuss the combinatorial structure of his answer, in particular, relate it to the bigraded deformation of Catalan numbers introduced by A. Garsia and M. Haiman.

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