3 papers
math.DG2019
Coverings of locally conformally Kähler complex spaces
Ovidiu Preda, Miron Stanciu
In this paper, we study the properties of coverings of locally conformally Kähler (LCK) spaces with singularities. We begin by proving that a space is LCK if any only if its univer…
math.DG2019
LCK metrics on complex spaces with quotient singularities
George-Ionut Ionita, Ovidiu Preda
In this article we introduce a generalization of locally conformally Kaehler metrics from complex manifolds to complex analytic spaces with singularities and study which properties…
math.CV2018
Q-pseudoconvex and q-holomorphically convex domains
George-Ionut Ionita, Ovidiu Preda
In this article we prove a global result in the spirit of Basener's theorem regarding the relation between q-pseudoconvexity and q-holomorphic convexity: we prove that any smoothly…