Remarques sur la cohomologie des groupes kählériens nilpotents

Details Remarques sur la cohomologie des groupes kählériens nilpotents Remarques sur la cohomologie des groupes kählériens nilpotents

2009-06-15

arxiv.org/abs/0906.2606v1

Mathematics

Algebraic Geometry

13 pages, in French

Scientific paper

In this note, we show that the cohomology groups of (virtually) nilpotent
K\"ahler 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
K\"ahler groups.

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