## Fundamental Group And Pluridifferentials On Compact Kahler Manifolds

A compact Kahler manifold X is shown to be simply connected if its 'symmetric cotangent algebra' is trivial. Conjecturally, such a manifold should even be rationally connected. The relative version is also shown: a proper surjective connected holomorphic map f : X -> S between connected manifolds induces an isomorphism of fundamental groups if its smooth fibres are as above, and if X is Kahler.

Published in:
Moscow Mathematical Journal, 16, 4, 651-658
Year:
2016
Publisher:
Moscow, Independent Univ Moscow-Ium
ISSN:
1609-3321
Keywords:
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