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Gauss-Manin connections for arrangements, II Nonresonant weights

Daniel C. Cohen·Peter Orlik
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Abstract

We study the Gauss-Manin connection for the moduli space of an arrangement of complex hyperplanes in the cohomology of a nonresonant complex rank one local system. Aomoto and Kita determined this Gauss-Manin connection for arrangements in general position. We use their results and an algorithm constructed in this paper to determine this Gauss-Manin connection for all arrangements.

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Daniel C. Cohen, Peter Orlik. 2002-07-12. Gauss-Manin connections for arrangements, II Nonresonant weights. https://arxiv.org/abs/math/0207114

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