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Combinatorial Nonresonance Theorems for Hyperplane Arrangement Complements

math.AG · 2026-05-02 · unverdicted · novelty 6.0

A combinatorial sufficient condition for nonresonance of complex rank-one local systems on hyperplane arrangement complements is obtained by refining the Cohen-Dimca-Orlik method, strengthening an earlier theorem and proving a result for line arrangements via restriction and lifting.

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  • Combinatorial Nonresonance Theorems for Hyperplane Arrangement Complements math.AG · 2026-05-02 · unverdicted · none · ref 20

    A combinatorial sufficient condition for nonresonance of complex rank-one local systems on hyperplane arrangement complements is obtained by refining the Cohen-Dimca-Orlik method, strengthening an earlier theorem and proving a result for line arrangements via restriction and lifting.