A Nakai-Moishezon criterion for non-Kähler surfaces
type: Item
instance of: scholarly article
title: A Nakai-Moishezon criterion for non-Kähler surfaces
zbMATH Open document ID: 0964.32014
publication date: 2000-11-13T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/75463
review text: In [Ann. Inst. Fourier 49, No.~1, 287-302 (1999; Zbl 0926.32025)] the author has established analogous criteria to those of Nakai-Moishezon which ensure that a given smooth real \(\overline\partial\partial\)-closed \((1,1)\)-form on a compact complex Kähler surface \(X\) is \(\overline\partial\partial\)-homologous to a positive \((1,1)\)-form. The paper under review generalizes this result by showing that the same criteria also hold for any compact complex surface \(X\). The methods of proof are essentially the same as in the above quoted paper.
Mathematics Subject Classification ID: 32J15
Mathematics Subject Classification ID: 32C30
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 1528714
zbMATH Keywords: compact complex surfaces
zbMATH Keywords: Nakai criterion
zbMATH Keywords: positive current
author: Nicholas P. Buchdahl
reviewed by: Eberhard Oeljeklaus
MaRDI profile type: Publication
OpenAlex ID: W2055985766
cites work: Q5749404
cites work: Q4040884
cites work: On compact Kähler surfaces
cites work: Q4136133
cites work: Q4195061
cites work: An intrinsic characterization of Kähler manifolds
cites work: The Kähler cone of a surface
DOI: 10.5802/AIF.1799
published in: Annales de l’institut Fourier
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description: scientific article; zbMATH DE number 1528714