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arXiv · alg-geom/9410013

On the Malcev completion of Kähler groups

Jaume Amoros
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Abstract

Restrictions are placed on the presentation and holonomy algebra of a Kähler group. Let $X$ be compact Kähler. It is known that the formality of $X$, its Albanese map and the Hodge structure of $H^{\ast}(X)$ impose restrictions on the holonomy algebra of $π_1 X$. We derive further restrictions from Sullivan's 1-minimal model. An effective algorithm is given to compute the holonomy algebra of a group from a presentation. Some very strong restrictions on Kähler groups with few defining relations are obtained.

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BibTeXRIS

Jaume Amoros. 1994-10-13. On the Malcev completion of Kähler groups. https://arxiv.org/abs/alg-geom/9410013

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