English

Compactified Jacobians and q,t-Catalan Numbers, I

Algebraic Geometry 2012-07-26 v2 Combinatorics

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.

Keywords

Cite

@article{arxiv.1105.1151,
  title  = {Compactified Jacobians and q,t-Catalan Numbers, I},
  author = {E. Gorsky and Mikhail Mazin},
  journal= {arXiv preprint arXiv:1105.1151},
  year   = {2012}
}

Comments

Revised version, 24 pages