An Orlik-Solomon type algebra for matroids with a fixed linear class of circuits
Combinatorics
2007-05-23 v3
Abstract
A family C of circuits of a matroid M is a linear class if, given a modular pair of circuits in C}, any circuit contained in the union of the pair is also in C. The pair (M,C) can be seen as a matroidal generalization of a biased graph. We introduce and study an Orlik-Solomon type algebra determined by (M,C). If C is the set of all circuits of M this algebra is the Orlik-Solomon algebra of M.
Cite
@article{arxiv.math/0509629,
title = {An Orlik-Solomon type algebra for matroids with a fixed linear class of circuits},
author = {Raul Cordovil and David Forge},
journal= {arXiv preprint arXiv:math/0509629},
year = {2007}
}
Comments
10 pages. Port. Math. to appear