Defining equations of subspace arrangements embedded in reflection arrangements
Combinatorics
2012-01-25 v2 Commutative Algebra
Abstract
We give explicit generators for ideals of two classes of subspace arrangements embedded in certain reflection arrangements, generalizing results of Li-Li and Kleitman-Lovasz. We also give minimal generators for the ideals of arrangements that arise in a natural way from the p-skeleton of an n-dimensional cube and discuss conditions under which the generators that we give form a Groebner basis.
Cite
@article{arxiv.math/0307280,
title = {Defining equations of subspace arrangements embedded in reflection arrangements},
author = {Jessica Sidman},
journal= {arXiv preprint arXiv:math/0307280},
year = {2012}
}
Comments
14 pages, AMS LaTex. Minor changes in exposition. Typos corrected and reference added