The excluded minors for near-regular matroids

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Abstract

In unpublished work, Geelen proved that a matroid is near-regular if and only if it has no minor isomorphic to U2,5, U3,5, F7, F7, F7, (F7), AG(2,3)e, (AG(2,3)e), ΔT(AG(2,3)e), or P8. We provide a proof of this characterization.

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