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.
|Autori:||SBARRA E; DE NEGRI EMANUELA|
|Titolo:||Groebner bases of ideals cogenerated by Pfaffians|
|Anno del prodotto:||2011|
|Digital Object Identifier (DOI):||10.1016/j.jpaa.2010.06.026|
|Appare nelle tipologie:||1.1 Articolo in rivista|