Gauss-Manin connections for arrangements, II Nonresonant weights

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

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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