Locally conformally K\"ahler spaces and proper open morphisms
Complex Variables
2023-11-27 v1 Differential Geometry
Abstract
In this paper, we prove a stability result for the non-K\"ahler geometry of locally conformally K\"ahler (lcK) spaces with singularities. Specifically, we find sufficient conditions under which the image of an lcK space by a holomorphic mapping also admits lcK metrics, thus extending a result by Varouchas about K\"ahler spaces.
Cite
@article{arxiv.2311.14372,
title = {Locally conformally K\"ahler spaces and proper open morphisms},
author = {Ovidiu Preda and Miron Stanciu},
journal= {arXiv preprint arXiv:2311.14372},
year = {2023}
}
Comments
9 pages