Gauss-Manin Connections for Arrangements

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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.
LaTeX, 15 pages. v2: minor changes. v3: 16 pages, to appear in Compositio Math

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Algebraic Geometry, Combinatorics, 32S22, 14D05, 52C35, 55N25

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http://salesiana.dossiersoluciones.com/handle/123456789/98554

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0105063
 http://arxiv.org/abs/math/0105063
 Compositio Math. 136 (2003), 299-316

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arXiv