English

On the extremal Betti numbers of squarefree monomial ideals

Commutative Algebra 2021-10-01 v1

Abstract

Let KK be a field and S=K[x1,,xn]S = K[x_1,\dots,x_n] be a polynomial ring over KK. We discuss the behaviour of the extremal Betti numbers of the class of squarefree strongly stable ideals. More precisely, we give a numerical characterization of the possible extremal Betti numbers (values as well as positions) of such a class of squarefree monomial ideals.

Keywords

Cite

@article{arxiv.2102.06426,
  title  = {On the extremal Betti numbers of squarefree monomial ideals},
  author = {Luca Amata and Marilena Crupi},
  journal= {arXiv preprint arXiv:2102.06426},
  year   = {2021}
}