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Kähler Surfaces of Positive Scalar Curvature
Authors:Myong-Hee Sung
Affiliation:(1) Mathematics Department, University of Maryland, College Park, MD, 20742-4015, U.S.A.
Abstract:We construct Kähler metrics of positive scalar curvature on almost all blown-up ruled surfaces of arbitrary genus. The metrics have an explicit form on ruled surfaces blown up at most twice successively from a minimal model. Our surfaces are generic in the sense that they make up a dense set in the deformations of a given ruled surface.
Keywords:deformation of complex structures    hler metrics  positive scalar curvature  ruled surfaces
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