On complex surfaces diffeomorphic to rational surfaces

Details On complex surfaces diffeomorphic to rational surfaces On complex surfaces diffeomorphic to rational surfaces

1994-04-22

arxiv.org/abs/alg-geom/9404010v1

Mathematics

Algebraic Geometry

34 pages, AMS-TeX

Scientific paper

10.1007/BF01241123

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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