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arXiv · 1911.02379

Coverings of locally conformally K\"ahler complex spaces

Ovidiu Preda·Miron Stanciu
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Abstract

In this paper, we study the properties of coverings of locally conformally K\"ahler (LCK) spaces with singularities. We begin by proving that a space is LCK if any only if its universal cover is K\"ahler, thereby generalizing a result from a previous paper. We then show that a complex space which projects over an LCK space with discrete fibers must also carry an LCK structure.

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Ovidiu Preda, Miron Stanciu. 2019-11-06. Coverings of locally conformally K\"ahler complex spaces. https://arxiv.org/abs/1911.02379

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