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Preprint Number 54

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54. Rahim Moosa and Sergei Starchenko
K-analytic versus CCM-analytic sets in nonstandard compact complex manifolds
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Submission date: 21 February 2007

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 Kaehler manifolds.

Mathematics Subject Classification: 03C98, 03C64, 32J27

Keywords and phrases: compact complex manifolds, essential saturation, subanalytic sets

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