Defining equations of subspace arrangements embedded in reflection arrangements

Details Defining equations of subspace arrangements embedded in reflection arrangements Defining equations of subspace arrangements embedded in reflection arrangements

2003-07-21

arxiv.org/abs/math/0307280v2

Int. Math. Res. Not. 2004, no. 15, 713-727

Mathematics

Combinatorics

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

Scientific paper

10.1155/S1073792804132157

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.

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