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Some remarks about 1-convex manifolds on which all holomorphic line bundles are trivial. (English) Zbl 1111.32007
The author gives an abridged proof of an example in his paper [Rev. Roum. Math. Pures Appl. 43, No. 1–2, 97–104 (1998; Zbl 0932.32018)] of an 1-convex threefold on which every holomorphic line bundle is trivial. He points out several mistakes in the paper by Vo Van Tan [Bull. Sci. Math. 129, No. 6, 501–522 (2005; Zbl 1083.32010)] on related topics.

##### MSC:
 32E05 Holomorphically convex complex spaces, reduction theory 32J05 Compactification of analytic spaces 32L20 Vanishing theorems
##### Keywords:
1-convex manifold; Moishezon manifold
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##### References:
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