Compact Complex Surfaces of Locally Conformally Flat Type
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🧮 math.DG
math.AGmath.GT
keywords
compactcomplexconformallyflatlocallysurfacesurfacesthen
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We show that if a compact complex surface admits a locally conformally flat metric, then it cannot contain a smooth rational curve of odd self-intersection. In particular, the surface has to be minimal. Then we give a list of possibilities of such surfaces.
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