The Hilbert Series of Pfaffian Rings

Details The Hilbert Series of Pfaffian Rings The Hilbert Series of Pfaffian Rings

2001-05-17

arxiv.org/abs/math/0105151v1

in: Algebra, Arithmetic and Geometry with Applications,C. Christensen, C. Bajaj, G. Sundaram and A. Sathaye, eds., Springer-Ve

Mathematics

Commutative Algebra

20 pages, AmS-LaTeX

Scientific paper

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.

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