Defining equations of subspace arrangements embedded in reflection arrangements

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.

14 pages, AMS LaTex. Minor changes in exposition. Typos corrected and reference added

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