Remarques sur la cohomologie des groupes kählériens nilpotents

Abstract

In this note, we show that the cohomology groups of (virtually) nilpotent Kähler groups are naturally endowed with a mixed Hodge structure. These structures make the Hopf morphisms into mixed Hodge structures morphisms. We illustrate this fact with the study of known examples of non-abelian nilpotent Kähler groups.

13 pages, in French