The smooth invariance of the Kodaira dimension of a complex surface
A proof of the following theorem is outlined: A complex surface of general type cannot be diffeomorphic to a rational surface. This implies that any complex surface diffeomorphic to a rational surface is rational. On the other side, any two diffeomorphic complex surfaces have the same Kodaira dimension, which was conjectured by Van de Ven.
scientific article; zbMATH DE number 817702