New examples of oriented matroids with disconnected realization spaces
Combinatorics
2012-01-13 v1 Algebraic Geometry
Abstract
We construct oriented matroids of rank 3 on 13 points whose realization spaces are disconnected. They are defined on smaller points than the known examples with this property. Moreover, we construct the one on 13 points whose realization space is a connected and non-irreducible semialgebraic variety.
Keywords
Cite
@article{arxiv.1201.2560,
title = {New examples of oriented matroids with disconnected realization spaces},
author = {Yasuyuki Tsukamoto},
journal= {arXiv preprint arXiv:1201.2560},
year = {2012}
}
Comments
8 pages, 3 figures