Closed holomorphic 1-forms without zeros on Stein Manifolds

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We prove that a Stein manifold admits a closed holomorphic 1-form without zeros in every class of the first cohomology group. We also prove an approximation result for closed holomorphic 1-forms without zeros defined in a neighborhood of a compact subset.
18 pages, 4 figures, to be published in Mathematische Zeitschrift

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Complex Variables, 32E10, 32E30, 58A10

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http://salesiana.dossiersoluciones.com/handle/123456789/124825

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702870
 http://arxiv.org/abs/math/0702870

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arXiv