The Hilbert Series of Pfaffian Rings

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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

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Commutative Algebra, Algebraic Geometry, Combinatorics, 13C40 (Primary) 05A15 05A19 13C40 13F55 13H10 13H15 14C17 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/61492

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0105151
 http://arxiv.org/abs/math/0105151
 in: Algebra, Arithmetic and Geometry with Applications,C. Christensen, C. Bajaj, G. Sundaram and A. Sathaye, eds., Springer-Verlag, New York, 2003, pp. 337-356.

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arXiv