Deformations of representations of fundamental groups of open Kaehler manifolds

Details Deformations of representations of fundamental groups of open Kaehler manifolds Deformations of representations of fundamental groups of open Kaehler manifolds

1997-09-10

arxiv.org/abs/dg-ga/9709013v2

Mathematics

Algebraic Geometry

Corrected version, LaTeX, 18p

Scientific paper

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.

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