{"paper":{"title":"The Milnor fibration of a hyperplane arrangement: from modular resonance to algebraic monodromy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.CO"],"primary_cat":"math.AG","authors_text":"Alexander I. Suciu, Stefan Papadima","submitted_at":"2014-01-05T06:12:19Z","abstract_excerpt":"A central question in arrangement theory is to determine whether the characteristic polynomial $\\Delta_q$ of the algebraic monodromy acting on the homology group $H_q(F(\\mathcal{A}),\\mathbb{C})$ of the Milnor fiber of a complex hyperplane arrangement $\\mathcal{A}$ is determined by the intersection lattice $L(\\mathcal{A})$. Under simple combinatorial conditions, we show that the multiplicities of the factors of $\\Delta_1$ corresponding to certain eigenvalues of order a power of a prime $p$ are equal to the Aomoto--Betti numbers $\\beta_p(\\mathcal{A})$, which in turn are extracted from $L(\\mathca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.0868","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}