On complex surfaces diffeomorphic to rational surfaces
classification
alg-geom
math.AGmath.GT
keywords
rationalsurfacescomplexdiffeomorphicsmoothsurfaceclassificationcompleting
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In this paper we prove that no complex surface of general type is diffeomorphic to a rational surface, thereby completing the smooth classification of rational surfaces and the proof of the Van de Ven conjecture on the smooth invariance of Kodaira dimension.
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