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arXiv · 2311.14372

Locally conformally K\"ahler spaces and proper open morphisms

Ovidiu Preda·Miron Stanciu
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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.

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Ovidiu Preda, Miron Stanciu. 2023-11-24. Locally conformally K\"ahler spaces and proper open morphisms. https://arxiv.org/abs/2311.14372

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