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Holomorphic geometric structures on Oeljeklaus-Toma manifolds
Published 14 Feb 2024 in math.DG and math.AG | (2402.09012v2)
Abstract: We prove that any holomorphic geometric structure of affine type on an Oeljeklaus- Toma manifold is locally homogeneous. For locally conformal K\"ahler Oeljeklaus-Toma manifolds we prove that all holomorphic geometric structures, and also all holomorphic Cartan geometries, on them are locally homogeneous.
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