Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 20 (2024), 030, 33 pages      arXiv:2302.13649      https://doi.org/10.3842/SIGMA.2024.030

Locally Homogeneous Holomorphic Geometric Structures on Projective Varieties

Indranil Biswas a and Benjamin McKay b
a) Department of Mathematics, Shiv Nadar University, NH91, Tehsil Dadri, Greater Noida, Uttar Pradesh 201314, India
b) School of Mathematical Sciences, University College Cork, Cork, Ireland

Received April 01, 2023, in final form March 29, 2024; Published online April 08, 2024

Abstract
For any smooth projective variety with holomorphic locally homogeneous structure modelled on a homogeneous algebraic variety, we determine all the subvarieties of it which develop to the model.

Key words: complex projective manifold; Cartan geometry; Moishezon manifold.

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