Document Type
Article
Publication Date
1-1-2005
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.
Publication Source (Journal or Book title)
American Journal of Mathematics
First Page
569
Last Page
594
Recommended Citation
Cohen, D., & Orlik, P. (2005). Gauss-Manin connections for arrangements, II nonresonant weights. American Journal of Mathematics, 127 (3), 569-594. https://doi.org/10.1353/ajm.2005.0018
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