Closed holomorphic 1-forms without zeros on Stein Manifolds

Irena Majcen

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Closed holomorphic 1-forms without zeros on Stein Manifolds

Irena Majcen

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Abstract

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.

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Irena Majcen. 2007-02-28. Closed holomorphic 1-forms without zeros on Stein Manifolds. https://arxiv.org/abs/math/0702870

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