Gr\"obner bases of ideals cogenerated by Pfaffians
Commutative Algebra
2010-06-17 v1 Algebraic Geometry
Combinatorics
Rings and Algebras
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.
Keywords
Cite
@article{arxiv.1006.3219,
title = {Gr\"obner bases of ideals cogenerated by Pfaffians},
author = {Emanuela De Negri and Enrico Sbarra},
journal= {arXiv preprint arXiv:1006.3219},
year = {2010}
}
Comments
15 pages, 6 figures, to appear in JPAA