On Locally Conformally Kähler Threefolds with Algebraic Dimension Two-Reference-Cited by-同舟云学术

On Locally Conformally Kähler Threefolds with Algebraic Dimension Two

Published:2021-12-24 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
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Author:

Angella Daniele¹,Parton Maurizio²,Vuletescu Victor³

Affiliation:

1. Dipartimento di Matematica e Informatica “Ulisse Dini”, Università degli Studi di Firenze, viale Morgagni 67/a, 50134 Firenze, Italy

2. Dipartimento di Economia, Università di Chieti-Pescara, viale della Pineta 4, 65129 Pescara, Italy

3. Faculty of Mathematics and Informatics, University of Bucharest, Academiei st. 14, 010014 Bucharest, Romania

Abstract

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.

Funder

PRIN2017 “Real and Complex Manifolds: Topology, Geometry and holomorphic dynamics”

SIR2014 “AnHyC Analytic aspects in complex and hypercomplex geometry”

GNSAGA of INdAM

UEFISCDI

Research in Pairs program by CIRM-Fondazione Bruno Kessler

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnab362/41927539/rnab362.pdf

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