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

2004/11/11 by Vestislav Apostolov, Apostolov, Vestislav, Christina W. Tønnesen-Friedman +1
Mathematics · #32J15 #53C55 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #math.AG #math.DG #msc:32J15 #msc:53C55

paper · pdf · doi:10.48550/arxiv.math/0411271

Corrected typos, updated references

arxiv created 2005/02/21 · arxiv updated 2009/12/01

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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