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A remark on Kähler metrics of constant scalar curvature on ruled complex surfaces

Vestislav Apostolov, Christina W. Tønnesen-Friedman

math.DGarXiv:math/0411271

Abstract

We point out how some recent developments in the theory of constant scalar curvature Kähler 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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