The Hilbert Series of Pfaffian Rings
arXiv:math/0105151
Abstract
We give three determinantal expressions for the Hilbert series as well as the Hilbert function of a Pfaffian ring, and a closed form product formula for its multiplicity. An appendix outlining some basic facts about degeneracy loci and applications to multiplicity formulae for Pfaffian rings is also included.
20 pages, AmS-LaTeX