Compactified Jacobians and q,t-Catalan Numbers

Details Compactified Jacobians and q,t-Catalan Numbers Compactified Jacobians and q,t-Catalan Numbers

2011-05-05

arxiv.org/abs/1105.1151v1

Mathematics

Algebraic Geometry

21 pages, 5 figures

Scientific paper

J. Pionkowski described the homology of the Jacobi factor of a plane curve
singularity with one Puiseaux 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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