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Gauss-Manin connections for arrangements, II: Nonresonant weights
2005
American Journal of Mathematics
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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.
doi:10.1353/ajm.2005.0018
fatcat:tc5zwycuuzfvhpoiypgjtk6xvq