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Preprint Number 800
800. Rahim Moosa and Matei Toma
A note on subvarieties of powers of OT-manifolds
Submission date: 25 November 2014.
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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