Holonomy Chen ranks conjecture for simple matroids
Holonomy Chen ranks conjecture for simple matroids
Let be a simple matroid. For each sub-matroid , let be the number of -multinets supported by , and let denote the holonomy Chen ranks. Holonomy Chen ranks conjecture. For ,
This generalizes the Chen Ranks conjecture for arrangement groups. The supplied text does not state whether the conjecture has been resolved.
Sources & referencesView supporting material
Primary source
Alexandru Suciu, “Resonance varieties and Lie algebras of matroids and hyperplane arrangements”, arXiv:2509.24060 (2025).
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