Gauss-Manin connections for arrangements, IV Nonresonant eigenvalues

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dc.creatorCohen, Daniel C.
dc.creatorOrlik, Peter
dc.date2005-02-05
dc.date.accessioned2026-07-07T06:33:29Z
dc.date.available2026-07-07T06:33:29Z
dc.descriptionAn arrangement is a finite set of hyperplanes in a finite dimensional complex affine space. A complex rank one local system on the arrangement complement is determined by a set of complex weights for the hyperplanes. We study the Gauss-Manin connection for the moduli space of arrangements of fixed combinatorial type in the cohomology of the complement with coefficients in the local system determined by the weights. For nonresonant weights, we solve the eigenvalue problem for the endomorphisms arising in the 1-form associated to the Gauss-Manin connection.
dc.identifierhttps://arxiv.org/abs/math/0502111
dc.identifierhttp://arxiv.org/abs/math/0502111
dc.identifierComment. Math. Helv. 81 (2006), 883-909
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99207
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject32S22, 14D05, 52C35, 55N25
dc.titleGauss-Manin connections for arrangements, IV Nonresonant eigenvalues
dc.typetext

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