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arxiv: math/0411271 · v3 · submitted 2004-11-11 · 🧮 math.DG · math.AG

A remark on K\"ahler metrics of constant scalar curvature on ruled complex surfaces

classification 🧮 math.DG math.AG
keywords metricsahlercomplexconstantcurvatureruledscalarsurfaces
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We point out how some recent developments in the theory of constant scalar curvature K\"ahler metrics can be used to clarify the existence issue for such metrics in the special case of geometrically ruled complex surfaces.

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