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Gröbner bases of ideals cogenerated by Pfaffians (1006.3219v1)
Published 16 Jun 2010 in math.AC, math.AG, math.CO, and math.RA
Abstract: We characterise the class of one-cogenerated Pfaffian ideals whose natural generators form a Gr\"obner basis with respect to any anti-diagonal term-order. We describe their initial ideals as well as the associated simplicial complexes, which turn out to be shellable and thus Cohen-Macaulay. We also provide a formula for computing their multiplicity.
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