Generalized Newton Complementary Duals of Monomial Ideals
Commutative Algebra
2019-11-21 v2
Abstract
Given a monomial ideal in a polynomial ring over a field, we define the generalized Newton complementary dual of the given ideal. We show good properties of such duals including linear quotients and isomorphisms between the special fiber rings. We construct the cellular free resolutions of duals of strongly stable ideals generated in the same degree. When the base ideal is generated in degree two, we provide an explicit description of cellular free resolution of the dual of a compatible generalized stable ideal.
Cite
@article{arxiv.1702.00519,
title = {Generalized Newton Complementary Duals of Monomial Ideals},
author = {Katie Ansaldi and Kuei-Nuan Lin and Yi-Huang Shen},
journal= {arXiv preprint arXiv:1702.00519},
year = {2019}
}
Comments
Accepted to the Journal of Algebra and Its Applications