Représentations linéaires de groupes kählériens et de leurs analogues projectifs

Abstract

In this note we establish the following result (announced in a previous work): if a linear group is the image of a representation of a Kähler group, then it has a finite index subgroup which is the image of a representation of the fundamental group of a smooth projective variety. In particular, a Kähler group which is linear is virtually projective.

12 pages, no figure, in French. Comments are welcome