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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
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