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-problem on weakly 1-complete Kähler manifolds
Published online by Cambridge University Press: 22 January 2016
Abstract
We consider a problem whether Kodaira’s -Lemma holds on weakly 1-complete Kähler manifolds or not. This problem was proposed by S. Nakano. We prove that the Lemma holds for some class of complex quasi-tori ℂn/Γ, and it does not hold for the other class of them. Every complex quasi-tori is weakly 1-complete and complete Kähler. Then we get a negative answer for the above problem.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1999
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