Rahim Moosa : A non-Kaehler essentially saturated complex surface

Posted by , part of the Logic Seminar.

At

Sept. 30, 2008, 4 p.m.

In

SEO 612

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.