## Journal of Symbolic Logic

### Compact complex manifolds with the DOP and other properties

#### 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 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.

#### Article information

Source
J. Symbolic Logic, Volume 67, Issue 2 (2002), 737-743.

Dates
First available in Project Euclid: 18 September 2007

https://projecteuclid.org/euclid.jsl/1190150107

Digital Object Identifier
doi:10.2178/jsl/1190150107

Mathematical Reviews number (MathSciNet)
MR1905164

Zentralblatt MATH identifier
1005.03040

Subjects