Gauss-Manin Connections for Arrangements

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dc.creatorCohen, Daniel C.
dc.creatorOrlik, Peter
dc.date2001-05-09
dc.date2002-03-18
dc.date.accessioned2026-07-07T06:31:16Z
dc.date.available2026-07-07T06:31:16Z
dc.descriptionWe 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.
dc.descriptionLaTeX, 15 pages. v2: minor changes. v3: 16 pages, to appear in Compositio Math
dc.identifierhttps://arxiv.org/abs/math/0105063
dc.identifierhttp://arxiv.org/abs/math/0105063
dc.identifierCompositio Math. 136 (2003), 299-316
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98554
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject32S22, 14D05, 52C35, 55N25
dc.titleGauss-Manin Connections for Arrangements
dc.typetext

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