Abstract
In contrast with the 2-dimensional case, we would like to exhibit here an example of a compactifiable strongly pseudoconvex threefold X such that a) the analytic Kodaira dimension κ(X)=3 and b) its exceptional subvariety S is projective algebraic; yet X is not quasi-projective.
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Tan, V.V. On compactifiable strongly pseudoconvex threefolds. Manuscripta Math 69, 333–338 (1990). https://doi.org/10.1007/BF02567931
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DOI: https://doi.org/10.1007/BF02567931