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.


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