Kähler Surfaces of Positive Scalar Curvature |
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Authors: | Myong-Hee Sung |
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Affiliation: | (1) Mathematics Department, University of Maryland, College Park, MD, 20742-4015, U.S.A. |
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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. |
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Keywords: | deformation of complex structures Kä hler metrics positive scalar curvature ruled surfaces |
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