Logarithmic forms with twisted coefficients

dc.creatorFoth, Philip
dc.date1998-02-01
dc.date.accessioned2026-07-07T05:23:44Z
dc.date.available2026-07-07T05:23:44Z
dc.descriptionGiven a compact Kaehler manifold, we consider the complement U of a divisor with normal crossings and a unitary local system V on it. We consider a differential graded Lie algebra (DGLA) of forms with holomorphic logarithmic singularities and vanishing residues. We construct a spectral sequence corresponding to the anti-holomorphic filtration of this algebra and compute its E1 term. This spectral sequence converges to the L2 cohomology H2*(U, V). We show that this DGLA is formal, although it does not always satisfy to the d'd''-Lemma.
dc.description12 pages LaTeX
dc.identifierhttps://arxiv.org/abs/math/9802005
dc.identifierhttp://arxiv.org/abs/math/9802005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76559
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.titleLogarithmic forms with twisted coefficients
dc.typetext

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