Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 800

Preprint Number 800

Previous Next Preprint server

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.

Mathematics Subject Classification:

Keywords and phrases:

Full text: pdf, dvi, ps.

Last updated: March 23 2021 10:23 Please send your corrections to: