The Hilbert Series of Pfaffian Rings

Sudhir R. Ghorpade and Christian Krattenthaler

A chapter in Algebra, Arithmetic and Geometry with Applications, 2004, pp 337-356 from Springer

Abstract: 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.

Keywords: Vector Bundle; Chern Class; Young Tableau; Hilbert Series; Hilbert Function (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18487-1_22

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DOI: 10.1007/978-3-642-18487-1_22

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