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arXiv:math/0307280 [math.CO]AbstractReferencesReviewsResources

Defining equations of subspace arrangements embedded in reflection arrangements

Jessica Sidman

Published 2003-07-21, updated 2003-10-10Version 2

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.

Comments: 14 pages, AMS LaTex. Minor changes in exposition. Typos corrected and reference added
Journal: Int. Math. Res. Not. 2004, no. 15, 713-727
Categories: math.CO, math.AC
Subjects: 52C35, 13P10
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