LCM Duals of Monomial Ideals
Commutative Algebra
2016-10-10 v1
Abstract
Given a monomial ideal in a polynomial ring over a field, we define the LCM-dual of the given ideal. We show good properties of LCM-duals. Including the isomorphism between the special fiber of LCM-dual and the special fiber of given monomial ideal. We show the special fibers of LCM-duals of strongly stable ideals are normal Cohen-Macaulay Koszul domains. We provide an explicit describing of minimal free resolutions of LCM-duals of strongly stable ideals.
Cite
@article{arxiv.1610.02278,
title = {LCM Duals of Monomial Ideals},
author = {Katie Ansaldi and Kuei-Nuan Lin},
journal= {arXiv preprint arXiv:1610.02278},
year = {2016}
}
Comments
19 pages, 3 figures