Document Type
Article
Publication Date
5-1-2003
Abstract
We construct a formal connection on the Aomoto complex of an arrangement of hyperplanes, and use it to study the Gauss Manin connection for the moduli space of the arrangement in the cohomology of a complex rank one local system. We prove that the eigenvalues of the Gauss Manin connection are integral linear combinations of the weights which define the local system.
Publication Source (Journal or Book title)
Compositio Mathematica
First Page
299
Last Page
316
Recommended Citation
Cohen, D., & Orlik, P. (2003). Gauss-Manin Connections for Arrangements, I Eigenvalues. Compositio Mathematica, 136 (3), 299-316. https://doi.org/10.1023/A:1023262022279
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