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Compact complex manifolds with the DOP and other properties. (English) Zbl 1005.03040

Summary: We point out that a certain complex compact manifold constructed by Lieberman has the dimensional order property and has \(U\)-rank different from Morley rank. We also give a sufficient condition for a Kähler manifold to be totally degenerate (that is, to be an indiscernible set, in its canonical language) and point out that there are K3 surfaces which satisfy these conditions.

MSC:

03C60 Model-theoretic algebra
03C45 Classification theory, stability, and related concepts in model theory
32J99 Compact analytic spaces
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