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# β nbc-BASES FOR COHOMOLOGY OF LOCAL SYSTEMS ON HYPERPLANE COMPLEMENTS

@inproceedings{Falk1996NF, title={β nbc-BASES FOR COHOMOLOGY OF LOCAL SYSTEMS ON HYPERPLANE COMPLEMENTS}, author={M J Falk}, year={1996} }

- Published 1996

We study cohomology with coefficients in a rank one local system on the complement of an arrangement of hyperplanes A. The cohomology plays an important role for the theory of generalized hypergeometric functions. We combine several known results to construct explicit bases of logarithmic forms for the only non-vanishing cohomology group, under some nonresonance conditions on the local system, for any arrangement A. The bases are determined by a linear ordering of the hyperplanes, and are… CONTINUE READING

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