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Fundamental group and positivity of cotangent bundles of compact Kähler manifolds. (English) Zbl 0845.32027
Let $$X$$ be a complex compact Kähler manifold. The aim of this paper is to bound the complexity of the fundamental group $$\pi_1 (X)$$ in terms of analytic invariants associated with the manifold $$X$$. The complexity of $$\pi_1 (X)$$ is measured by looking at the natural action of this group on the universal covering space of $$X$$.
Reviewer: A.Dimca (Bordeaux)

##### MSC:
 32J27 Compact Kähler manifolds: generalizations, classification 14F35 Homotopy theory and fundamental groups in algebraic geometry 57S25 Groups acting on specific manifolds
##### Keywords:
compact Kähler manifold; fundamental group; complexity