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Gröbner bases of ideals cogenerated by Pfaffians

We characterise the class of one-cogenerated Pfaffian ideals whose natural generators form a Gröbner 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.

preprint2010arXivOpen access
Emanuela De NegriEnrico Sbarra
math.COmath.ACmath.AGmath.RA
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Emanuela De NegriEnrico Sbarra

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