The Hilbert Series of Pfaffian Rings

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dc.creatorGhorpade, Sudhir R.
dc.creatorKrattenthaler, Christian
dc.date2001-05-17
dc.date.accessioned2026-07-07T04:41:45Z
dc.date.available2026-07-07T04:41:45Z
dc.descriptionWe 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.
dc.description20 pages, AmS-LaTeX
dc.identifierhttps://arxiv.org/abs/math/0105151
dc.identifierhttp://arxiv.org/abs/math/0105151
dc.identifierin: Algebra, Arithmetic and Geometry with Applications,C. Christensen, C. Bajaj, G. Sundaram and A. Sathaye, eds., Springer-Verlag, New York, 2003, pp. 337-356.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61492
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject13C40 (Primary) 05A15 05A19 13C40 13F55 13H10 13H15 14C17 (Secondary)
dc.titleThe Hilbert Series of Pfaffian Rings
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