On Locally Conformally Kähler Threefolds with Algebraic Dimension Two
On Locally Conformally Kähler Threefolds with Algebraic Dimension Two
Abstract The paper is part of an attempt of understanding non-Kähler threefolds. We start by looking at compact complex non-Kähler threefolds with algebraic dimension two and admitting lcK metrics. Under certain assumptions, we prove that they are blown-up quasi-bundles over a projective surface.