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Mathematics  2003 

Defining equations of subspace arrangements embedded in reflection arrangements

DOI: 10.1155/S1073792804132157

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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.

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