Binomial extensions of Simplicial ideals and reduction number
Commutative Algebra
2009-12-01 v1 Algebraic Geometry
Abstract
In this article, we define a class of binomial ideals associated to a simplicial complex. This class of ideals appears in the presentation of fiber cones of codimension 2 lattice ideals \cite{hm}, and in the work of Barile and Morales \cite{bm2}, \cite{bm3}, \cite{bm4}. We compute the reduction number of Binomial extensions of Simplicial ideals. This extends all the previous results in this area.
Cite
@article{arxiv.0911.5423,
title = {Binomial extensions of Simplicial ideals and reduction number},
author = {Minh Lam Ha and Marcel Morales},
journal= {arXiv preprint arXiv:0911.5423},
year = {2009}
}