A Nakai-Moishezon criterion for non-Kähler surfaces

DOI10.5802/aif.1799zbMath0964.32014OpenAlexW2055985766MaRDI QIDQ1586374

Nicholas P. Buchdahl

Publication date: 13 November 2000

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2000__50_5_1533_0

zbMATH Keywords

compact complex surfacespositive currentNakai criterion

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Compact complex surfaces (32J15) Integration on analytic sets and spaces, currents (32C30)

Related Items (10)

Regularity results for pluriclosed flow ⋮ The complex Monge-Ampère type equation on compact Hermitian manifolds and applications ⋮ Instantons and curves on class VII surfaces ⋮ Almost Kähler structures on four dimensional unimodular Lie algebras ⋮ Donaldson theory in non-Kählerian geometry ⋮ Moduli spaces of \(\text{PU}(2)\)-instantons on minimal class VII surfaces with \(b_2=1\) ⋮ The pseudo-effective cone of a non-Kählerian surface and applications ⋮ Weak transcendental holomorphic Morse inequalities on compact Kähler manifolds ⋮ Donaldson theory on non-Kählerian surfaces and class VII surfaces with \(b_2=1\) ⋮ The Chern–Ricci flow on complex surfaces

Cites Work

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• An intrinsic characterization of Kähler manifolds
• On compact Kähler surfaces
• The Kähler cone of a surface

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