Cartan geometries on complex manifolds of algebraic dimension zero
Differential Geometry
2019-12-03 v3
Abstract
We show that compact complex manifolds of algebraic dimension zero bearing a holomorphic Cartan geometry of algebraic type have infinite fundamental group. This generalizes the main Theorem in [DM] where the same result was proved for the special cases of holomorphic affine connections and holomorphic conformal structures.
Keywords
Cite
@article{arxiv.1804.08949,
title = {Cartan geometries on complex manifolds of algebraic dimension zero},
author = {Indranil Biswas and Sorin Dumitrescu and Benjamin McKay},
journal= {arXiv preprint arXiv:1804.08949},
year = {2019}
}
Comments
v3 is the final version published in EPIGA