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On the kahlerity of complex spaces having the hartogs extension property

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The main aim of this article “On the kahlerity of complex spaces having the hartogs extension property” is to show that there exists a non-Kählerian complex manifold Z such that every separately holomorphic mapping \(f:C \times C \to Z\) is jointly holomorphic, but Z does not have (HEP). This is an affirmative answer to the conjecture posed in [4, Remark 5.1(2)]. |