Coverings of locally conformally Kähler complex spaces

In this paper, we study the properties of coverings of locally conformally Kahler (LCK) spaces with singularities. We begin by proving that a space is LCK if any only if its universal cover is Kahler, thereby generalizing a result from Ioniţa and Preda (Manuscripta Math, https://doi.org/10.1007/s00229-019-01141-w , 2019). We then show that a complex space which projects over an LCK space with discrete fibers must also carry an LCK structure.