Multigraded Shifts of Matroidal Ideals

Abstract

In this paper, we show that if $I$ is a matroidal ideal, then the ideal generated by the $i$-th multigraded shifts is also a matroidal ideal for every $i=0,\dots ,\text{pd}(I)$.

References in corpus (2)

• Castelnuovo-Mumford regularity of products of ideals
• Betti numbers associated to the facet ideal of a matroid

Cited by in corpus (2)

• A quasi-additive property of homological shift ideals
• Homological shift ideals