Locally Homogeneous Holomorphic Geometric Structures on Projective Varieties

Indranil Biswas^a, Benjamin McKay<sup>b

a</sup> 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

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.

Keywords: complex projective manifold, Cartan geometry, Moishezon manifold.

MSC: 53B21, 53C56, 53A55

Received: April 1, 2023; in final form March 29, 2024; Published online April 8, 2024

Language: English

DOI: 10.3842/SIGMA.2024.030

ArXiv: 2302.13649