Powers of lexsegment ideals with linear resolution
Commutative Algebra
2010-11-10 v1
Abstract
All powers of lexsegment ideals with linear resolution (equivalently, with linear quotients) have linear quotients with respect to suitable orders of the minimal monomial generators. For a large subclass of the lexsegment ideals the corresponding Rees algebra has a quadratic Gr\"obner basis, thus it is Koszul. We also find other classes of monomial ideals with linear quotients whose powers have linear quotients too.
Cite
@article{arxiv.1011.2157,
title = {Powers of lexsegment ideals with linear resolution},
author = {Viviana Ene and Anda Olteanu},
journal= {arXiv preprint arXiv:1011.2157},
year = {2010}
}