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arXiv · 2406.19866

Free multiderivations of connected subgraph arrangements

Paul Mücksch·Gerhard Roehrle·Sven Wiesner
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Abstract

Cuntz and Kühne introduced the class of connected subgraph arrangements $A_G$, depending on a graph $G$, and classified all graphs $G$ such that the corresponding arrangement $A_G$ is free. We extend their result to the multiarrangement case and classify all graphs $G$ for which the corresponding arrangement $A_G$ supports some multiplicity $μ$ such that the multiarrangement $(A_G,μ)$ is free.

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Paul Mücksch, Gerhard Roehrle, Sven Wiesner. 2025-10-20. Free multiderivations of connected subgraph arrangements. https://arxiv.org/abs/2406.19866

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