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.
arXiv comment20 pages, AmS-LaTeX