Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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D. Angella - M. Parton - V. Vuletescu

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

created by daniele on 19 May 2020
modified on 14 Mar 2023

[BibTeX]

Published Paper

Inserted: 19 may 2020
Last Updated: 14 mar 2023

Journal: Internat. Math. Res. Not. IMRN
Volume: 2023
Number: 5
Pages: 3948--3969
Year: 2023
Doi: 10.1093/imrn/rnab362

ArXiv: 2005.09565 PDF

Abstract:

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

Tags: SIR2014-AnHyC
, PRIN2017-MFDS

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