An Orlik-solomon Type Algebra for Matroids with a Fixed Linear Class of Circuits
نویسنده
چکیده
A family CL of circuits of a matroid M is a linear class if, given a modular pair of circuits in CL, any circuit contained in the union of the pair is also in CL. The pair (M, CL) can be seen as a matroidal generalization of a biased graph. We introduce and study an OrlikSolomon type algebra determined by (M, CL). If CL is the set of all circuits of M this algebra is the Orlik-Solomon algebra of M .
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تاریخ انتشار 2005