English

Quadratic Orlik-Solomon algebras of graphic matroids

Combinatorics 2007-05-23 v4

Abstract

In this note we introduce a sufficient condition for the Orlik-Solomon algebra associated to a matroid M to be l-adic and we prove that this condition is necessary when M is binary (in particular graphic). Moreover, this result cannot be extended to the class of all matroids.

Cite

@article{arxiv.math/0106136,
  title  = {Quadratic Orlik-Solomon algebras of graphic matroids},
  author = {Raul Cordovil and David Forge},
  journal= {arXiv preprint arXiv:math/0106136},
  year   = {2007}
}

Comments

5 pages, 1 figure, Mat. Contemp., to appear