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Nonresonance conditions for arrangements

Daniel C. Cohen, Alexandru Dimca, Peter Orlik (2003)

Annales de l’institut Fourier

We prove a vanishing theorem for the cohomology of the complement of a complex hyperplane arrangement with coefficients in a complex local system. This result is compared with other vanishing theorems, and used to study Milnor fibers of line arrangements, and hypersurface arrangements.

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