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Compact complex manifolds with the DOP and other properties

Published online by Cambridge University Press:  12 March 2014

Anand Pillay  and
Thomas Scanlon
Anand Pillay
Affiliation:
Department of Mathematics, University of Illinois, at Urbana-Champaign, Altgeld Hall, 1409 W. Green St., Urbana, Illinois 61801, USA, E-mail: [email protected]
Thomas Scanlon
Affiliation:
Department of Mathematics, University of California, Berkeley, Berkeley, California 94709, USA, E-mail: [email protected]
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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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 67 , Issue 2 , June 2002 , pp. 737 - 743
Copyright
Copyright © Association for Symbolic Logic 2002

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References

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