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arXiv:math/0207114 [math.AG]AbstractReferencesReviewsResources

Gauss-Manin connections for arrangements, II Nonresonant weights

Daniel C. Cohen, Peter Orlik

Published 2002-07-12Version 1

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.

Journal: Amer. J. Math. 127 (2005), 569-594
Categories: math.AG, math.CO
Subjects: 32S22, 14D05, 52C35, 55N25
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