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arXiv · 1006.3219

Gr\"obner bases of ideals cogenerated by Pfaffians

Emanuela De Negri·Enrico Sbarra
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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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BibTeXRIS

Emanuela De Negri, Enrico Sbarra. 2010-06-16. Gr\"obner bases of ideals cogenerated by Pfaffians. https://arxiv.org/abs/1006.3219

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