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Quadratic Orlik-Solomon algebras of graphic matroids

Raul Cordovil, David Forge

math.COarXiv:math/0106136

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.

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