Nonresonance conditions for arrangements
classification
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math.CO
keywords
arrangementscomplexvanishingarrangementcoefficientscohomologycomparedcomplement
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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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