Some remarks about 1-convex manifolds on which all holomorphic line bundles are trivial |
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Authors: | Mihnea Col?oiu |
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Institution: | Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, RO-014700, Bucure?ti, Romania |
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Abstract: | We give an abridged proof of an example already considered in M. Col?oiu, On 1-convex manifolds with 1-dimensional exceptional set, Rev. Roumaine Math. Pures et Appl. 43 (1998) 97-104] of a 1-convex manifold X of dimension 3 such that all holomorphic line bundles on X are trivial. We also point out several mistakes of Vo Van Tan, On the quasiprojectivity of compactifiable strongly pseudoconvex manifolds, Bull. Sci. Math. 129 (2005) 501-522] concerning this topic. |
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Keywords: | 1-convex manifold Moishezon manifold |
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