2 problems

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Top-degree and socle-dimension conjecture for Solomon–Terao algebras
Top-degree and socle-dimension conjecture. The top nonzero degree and its dimension satisfy
Conjectureopenhyperplane-arrangements solomon-terao-algebrasarXiv posted 2 days ago
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Solomon–Terao Hilbert-series characterizations of free arrangements
Solomon–Terao Hilbert-series conjectures. The arrangement ${\mathcal{A}}$ is free if and only if
Conjectureopenfree-arrangements hyperplane-arrangements solomon-terao-algebrasarXiv posted 2 days ago

Top-degree and socle-dimension conjecture for Solomon–Terao algebras