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On saturation and the model theory of compact Kähler manifolds
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Rahim Moosa
Published/Copyright:
November 23, 2005
Abstract
A hypothesis is introduced under which a compact complex analytic space, X, viewed as a structure in the language of analytic sets, is essentially saturated. It is shown that this condition is met exactly when the irreducible components of the restricted Douady spaces of all the cartesian powers of X are compact. Some implications of saturation on Kähler-type spaces, which by a theorem of Fujiki meet the above condition, are discussed. In particular, one obatins a model-theoretic proof of the fact that relative algebraic reductions exist in the class of Kähler-type spaces.
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Published Online: 2005-11-23
Published in Print: 2005-09-27
Walter de Gruyter GmbH & Co. KG
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Articles in the same Issue
- On saturation and the model theory of compact Kähler manifolds
- On the inverse problem in di¤erential Galois theory
- Block representation type of Frobenius kernels of smooth groups
- Mean curvature flow with free boundary on smooth hypersurfaces
- Geometric proofs of reciprocity laws
- L2-homology for von Neumann algebras
- Divisors on the moduli spaces of stable maps to flag varieties and reconstruction
- Minimums successifs des variétés toriques projectives
