Proves that -n/d is a root of the b-function for irreducible essential central hyperplane arrangements of degree d in C^n, thereby establishing the strong monodromy conjecture.
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math.AG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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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The strong monodromy conjecture for hyperplane arrangements
Proves that -n/d is a root of the b-function for irreducible essential central hyperplane arrangements of degree d in C^n, thereby establishing the strong monodromy conjecture.
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Combinatorial Nonresonance Theorems for Hyperplane Arrangement Complements
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.