New examples of oriented matroids with disconnected realization spaces

Details New examples of oriented matroids with disconnected realization spaces New examples of oriented matroids with disconnected realization spaces

2012-01-12

arxiv.org/abs/1201.2560v1

Mathematics

Combinatorics

8 pages, 3 figures

Scientific paper

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.

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