Deformations of representations of fundamental groups of open Kaehler manifolds

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Given a compact Kaehler manifold, we consider the complement U of a divisor with normal crossings. We study the variety of unitary representations of the fundamental group of U with certain restrictions related to the divisor. We show that the possible singularities of this variety as well as of the corresponding moduli space of irreducible representations are quadratic. In the course of our proof we exhibit a differential graded Lie algebra of which reflects our deformation problem.
Corrected version, LaTeX, 18p

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Differential Geometry, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/148805

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9709013
 http://arxiv.org/abs/dg-ga/9709013

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arXiv