Vector-spread monomial ideals and Eliahou-Kervaire type resolutions
Commutative Algebra
2022-11-04 v3
Abstract
We introduce the class of vector-spread monomial ideals. This notion generalizes that of -spread ideals introduced by Ene, Herzog and Qureshi. In particular, we focus on vector-spread strongly stable ideals, we compute their Koszul cycles and describe their minimal free resolution. As a consequence the graded Betti numbers and the Poincar\'e series are determined. Finally, we consider a generalization of algebraic shifting theory for such a class of ideals.
Cite
@article{arxiv.2203.04625,
title = {Vector-spread monomial ideals and Eliahou-Kervaire type resolutions},
author = {Antonino Ficarra},
journal= {arXiv preprint arXiv:2203.04625},
year = {2022}
}
Comments
This is the final version of my paper accepted for publication in the Journal of Algebra