On compact Kähler surfaces

1999/01/01 by Nicholas Buchdahl · 118 citations
Mathematics · Physics and Astronomy · Engineering · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Nonlinear Waves and Solitons #Betti number #Surface (topology) #Mathematics #Metric (unit) #Pure mathematics #Combinatorics #Mathematical analysis #Geometry #Engineering

paper · pdf · doi:10.5802/aif.1674

published in Annales de l’institut Fourier 49(1), 287-302 (Association of the Annals of the Fourier Institute)

openalex publication_date 1999/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/20

Abstract

Without relying on the classification of compact complex surfaces, it is proved that every such surface with even first Betti number admits a Kähler metric and that a real form of the classical Nakai-Moishezon criterion holds on the surface.

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