Sie sind hier: Home :: Bereich NIMMT :: Mathematik

Rahim Moosa

On saturation and the model theory of compact Kähler manifolds

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.

Journal fur die reine und angewandte Mathematik (Crelles Journal), Walter de Gruyter

Print ISSN: 0075-4102
Volume: 2005, 09/2005
Seiten: 1 - 20

Zum Artikel (extern)

Alle verfügbaren Artikel dieser Zeitschrift anzeigen

 

Bereich NIMMT