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arXiv · 2005.09565

On locally conformally K\"ahler threefolds with algebraic dimension two

Daniele Angella·Maurizio Parton·Victor Vuletescu
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Abstract

The paper is part of an attempt of understanding non-K\"ahler threefolds. We start by looking at compact complex non-K\"ahler threefolds with algebraic dimension two and admitting locally conformally K\"ahler metrics. Under certain assumptions, we prove that they are blown-up quasi-bundles over a projective surface.

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Daniele Angella, Maurizio Parton, Victor Vuletescu. 2020-05-19. On locally conformally K\"ahler threefolds with algebraic dimension two. https://doi.org/10.1093/imrn%2Frnab362%2F6482673

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