$K$-analytic versus ${\rm ccm}$-analytic sets in
 nonstandard compact complex manifolds

Rahim Moosa; Sergei Starchenko

doi:10.4064/fm198-2-4

Geodesic

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$K$-analytic versus ${\rm ccm}$-analytic sets in nonstandard compact complex manifolds

Rahim Moosa ¹ ; Sergei Starchenko ²

¹ Department of Pure Mathematics University of Waterloo 200 University Avenue West Waterloo, Ontario, Canada N2L 3G1
² Department of Mathematics University of Notre Dame 255 Hurley Hall Notre Dame, IN 46556-4618, U.S.A.

Fundamenta Mathematicae, Tome 198 (2008) no. 2, pp. 139-148.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Résumé

It is shown that in an elementary extension of a compact complex manifold $M$, the $K$-analytic sets (where $K$ is the algebraic closure of the underlying real closed field) agree with the ccm-analytic sets if and only if $M$ is essentially saturated. In particular, this is the case for compact Kähler manifolds.

DOI : 10.4064/fm198-2-4

Keywords: shown elementary extension compact complex manifold k analytic sets where algebraic closure underlying real closed field agree ccm analytic sets only essentially saturated particular compact hler manifolds

Affiliations des auteurs :

Rahim Moosa ¹ ; Sergei Starchenko ²

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Rahim Moosa; Sergei Starchenko. $K$-analytic versus ${\rm ccm}$-analytic sets in
 nonstandard compact complex manifolds. Fundamenta Mathematicae, Tome 198 (2008) no. 2, pp. 139-148. doi : 10.4064/fm198-2-4. http://geodesic.mathdoc.fr/articles/10.4064/fm198-2-4/

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