9 papers
Stein neighborhood bases for complex--totally real unions
Ovidiu Preda
We study Stein neighborhood bases for unions of closed complex and totally real submanifolds, with particular attention to a linear configuration with noncompact intersection. We p…
The Cœuré-Loeb example as an open subset of a Stein space
Ovidiu Preda
The Serre problem asked if a locally trivial holomorphic fibration with Stein base and Stein fiber is itself Stein. \v Skoda constructed the first counterexample for this problem.…
Vaisman's theorem and local reducibility
Ovidiu Preda, Miron Stanciu
As proven in a celebrated theorem due to Vaisman, pure locally conformally Kähler metrics do not exist on compact Kähler manifolds. In a previous paper, we extended this result to…
Locally conformally Kähler spaces and proper open morphisms
Ovidiu Preda, Miron Stanciu
In this paper, we prove a stability result for the non-Kähler geometry of locally conformally Kähler (lcK) spaces with singularities. Specifically, we find sufficient conditions un…
Blow-ups and modifications of lcK spaces
Ovidiu Preda, Miron Stanciu
In this article, we prove that the blow-up of a locally irreducible lcK space along a subspace which verifies certain conditions is lcK if and only if is induced gcK, g…
Vaisman theorem for lcK spaces
Ovidiu Preda, Miron Stanciu
Vaisman's theorem for locally conformally Kähler (lcK) compact manifolds states that any lcK metric on a compact complex manifold which admits a Kähler metric is, in fact, globally…
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…
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…
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…