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arXiv · 1403.3013

Repr\'esentations lin\'eaires de groupes k\"ahl\'eriens et de leurs analogues projectifs

Frédéric Campana·Benoît Claudon·Philippe Eyssidieux
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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.

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Frédéric Campana, Benoît Claudon, Philippe Eyssidieux. 2014-03-12. Repr\'esentations lin\'eaires de groupes k\"ahl\'eriens et de leurs analogues projectifs. https://arxiv.org/abs/1403.3013

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