Compact complex manifolds with the DOP and other properties

Journal of Symbolic Logic 67 (2):737-743 (2002)
Abstract
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 Kahler 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
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