Gröbner bases of ideals cogenerated by Pfaffians

Details Gröbner bases of ideals cogenerated by Pfaffians Gröbner bases of ideals cogenerated by Pfaffians

2010-06-16

arxiv.org/abs/1006.3219v1

Mathematics

Commutative Algebra

15 pages, 6 figures, to appear in JPAA

Scientific paper

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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