Logarithmic forms with twisted coefficients

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Given 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.
12 pages LaTeX

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Differential Geometry, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/76559

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9802005
 http://arxiv.org/abs/math/9802005

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arXiv