Every non-Euclidean oriented matroid admits a biquadratic final polynomial

DOI10.1007/s00493-009-2255-2zbMath1224.52031arXivmath/0510500OpenAlexW1982181862MaRDI QIDQ624213

Sonoko Moriyama, Hiroki Nakayama, Komei Fukuda, Jürgen Richter-Gebert

Publication date: 8 February 2011

Published in: Combinatorica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510500

zbMATH Keywords

oriented matroidbiquadratic final polynomial

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Oriented matroids in discrete geometry (52C40)

Related Items

General non-realizability certificates for spheres with linear programming

Cites Work

• A combinatorial abstraction of linear programming
• Euclideaness and final polynomials in oriented matroid theory