$K$-analytic versus ${\rm ccm}$-analytic sets in nonstandard compact complex manifolds
Volume 198 / 2008
Fundamenta Mathematicae 198 (2008), 139-148
MSC: Primary 03C98; Secondary 03C64, 32J27.
DOI: 10.4064/fm198-2-4
Abstract
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.
