The Hilbert Series of Pfaffian Rings
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hilbertpfaffianmultiplicityringsseriesappendixapplicationsbasic
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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.
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