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Every non-Euclidean oriented matroid admits a biquadratic final polynomial

Komei Fukuda·Sonoko Moriyama·Hiroki Nakayama
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Abstract

Richter-Gebert proved that every non-Euclidean uniform oriented matroid admits a biquadratic final polynomial. We extend this result to the non-uniform case.

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Komei Fukuda, Sonoko Moriyama, Hiroki Nakayama. 2005-10-24. Every non-Euclidean oriented matroid admits a biquadratic final polynomial. https://arxiv.org/abs/math/0510500

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