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Seiberg-Witten invariants and the Van de Ven conjecture. (Les invariants de Seiberg-Witten et la conjecture de Van de Ven.) (French. Abridged English version) Zbl 0867.14013
The paper gives a new and elegantly simple proof of the fact that a complex surface which is diffeomorphic to a rational surface is itself rational (i.e., being rational is a property which depends only on the differential structure of the surface). The proof relies on the use of Seiberg-Witten invariants and their interpretation as it has been developed by the authors themselves in a previous paper. – As a consequence of this result, the Van de Ven conjecture follows; i.e. it is proved that the Kodaira dimension of a complex surface is an invariant which depends only on the differential structure of the surface.

14J26 Rational and ruled surfaces
57R50 Differential topological aspects of diffeomorphisms
14M20 Rational and unirational varieties
57R55 Differentiable structures in differential topology
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