New Examples of Oriented Matroids with Disconnected Realization Spaces
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- Tsukamoto, Y. Discrete Comput Geom (2013) 49: 287. doi:10.1007/s00454-012-9456-y
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We construct oriented matroids of rank 3 on 13 points whose realization spaces are disconnected. They are defined on smaller point-sets than the known examples with this property. Moreover, we construct one on 13 points whose realization space is a connected but non-irreducible semialgebraic variety.