Products of Borel fixed ideals of maximal minors
Commutative Algebra
2016-01-18 v1
Abstract
We study a large family of products of Borel fixed ideals of maximal minors. We compute their initial ideals and primary decompositions, and show that they have linear free resolutions. The main tools are an extension of straightening law and a very surprising primary decomposition formula. We study also the homological properties of associated multi-Rees algebra which are shown to be Cohen-Macaulay, Koszul and defined by a Gr\"obner basis of quadrics.
Keywords
Cite
@article{arxiv.1601.03987,
title = {Products of Borel fixed ideals of maximal minors},
author = {Winfried Bruns and Aldo Conca},
journal= {arXiv preprint arXiv:1601.03987},
year = {2016}
}