New Examples of Oriented Matroids with Disconnected Realization Spaces

作者：Tsukamoto Yasuyuki^*

来源：Discrete & Computational Geometry, 2013, 49(2): 287-295.

DOI：10.1007/s00454-012-9456-y

• Oriented matroids
• Realization space

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.

• 出版日期2013-3