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Gauss–Man i n Conne ction s for Arrangements, I E igenvalues
Published online by Cambridge University Press: 04 December 2007
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.
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- © 2003 Kluwer Academic Publishers
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