MAT-Freeness is not combinatorial
Torsten Hoge, Gerhard Roehrle
TL;DR
This paper demonstrates that MAT-freeness for hyperplane arrangements varies with the underlying field, proving that it is not a purely combinatorial property.
Contribution
It establishes that MAT-freeness depends on the field, showing it is not determined solely by combinatorial data.
Findings
MAT-freeness varies with the underlying field
MAT-freeness is not a combinatorial property
Field dependence affects hyperplane arrangement classifications
Abstract
We show that the notion of MAT-freeness for hyperplane arrangements depends on the underlying field. In particular, MAT-freeness is not combinatorial.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Topology and Set Theory · Limits and Structures in Graph Theory