Repr\'esentations lin\'eaires de groupes k\"ahl\'eriens et de leurs analogues projectifs
Algebraic Geometry
2014-03-13 v1 Complex Variables
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 K\"ahler 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 K\"ahler group which is linear is virtually projective.
Keywords
Cite
@article{arxiv.1403.3013,
title = {Repr\'esentations lin\'eaires de groupes k\"ahl\'eriens et de leurs analogues projectifs},
author = {Frédéric Campana and Benoît Claudon and Philippe Eyssidieux},
journal= {arXiv preprint arXiv:1403.3013},
year = {2014}
}
Comments
12 pages, no figure, in French. Comments are welcome