Logic Seminar
Rahim Moosa
University of Waterloo
A non-Kaehler essentially saturated complex surface
Abstract: A compact complex manifold $M$ is viewed as a model-theoretic structure in the language where there is a predicate for each analytic subset of $M^n$. The manifold is essentially saturated if it admits a countable sub-language from which all complex-analytic subsets are definable (with parameters). All compact Kaehler manifolds (and their holomorphic images, the Kaehler-type spaces) are essentially saturated. I will describe some recent joint work with Ruxandra Moraru and Matei Toma in which we show that the converse is not true. We show that Inoue surfaces of type $S_M$ are essentially saturated (though not of Kaehler-type).
seminar begins with tea.
Tuesday September 30, 2008 at 4:00 PM in SEO 612