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.
References
Primary source
Alexandru Suciu, “Resonance varieties and Lie algebras of matroids and hyperplane arrangements”, arXiv:2509.24060 (2025).
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