Submission date: 25 November 2014.

Abstract:

It is shown that the space of finite-to-finite holomorphic correspondences on an OT-manifold is discrete. When the OT-manifold has no proper infinite complex-analytic subsets, it then follows by known model-theoretic results that its cartesian powers have no interesting complex-analytic families of subvarieties. The methods of proof, which are similar to [Moosa, Moraru, and Toma “An essentially saturated surface not of Kaehler-type”, Bull. of the LMS, 40(5):845--854, 2008], require studying finite unramified covers of OT-manifolds.

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