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Bibliographic Details
Main Authors: Moosa, Rahim, Toma, Matei
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2408.08049
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Table of Contents:
  • 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 Kähler-type", {\em Bull. of the LMS}, 40(5):845--854, 2008], require studying finite unramified covers of OT-manifolds.