Okonek, Christian; Teleman, Andrei 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 C. R. Acad. Sci., Paris, Sér. I 321, No. 4, 457-461 (1995). 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. Reviewer: A.Gimigliano (Firenze) Cited in 2 ReviewsCited in 2 Documents MSC: 14J26 Rational and ruled surfaces 57R50 Differential topological aspects of diffeomorphisms 14M20 Rational and unirational varieties 57R55 Differentiable structures in differential topology Keywords:diffeomorphism; complex surface diffeomorphic to a rational surface; Seiberg-Witten invariants; Kodaira dimension PDFBibTeX XMLCite \textit{C. Okonek} and \textit{A. Teleman}, C. R. Acad. Sci., Paris, Sér. I 321, No. 4, 457--461 (1995; Zbl 0867.14013) Full Text: arXiv