Étude géométrique sur une question de licence
Exceptional singular -homology planes
We consider singular -acyclic surfaces with smooth locus of non-general type. We prove that if the singularities are topologically rational then the smooth locus is - or -ruled or the surface is up to isomorphism one of two exceptional surfaces of Kodaira dimension zero. For both exceptional surfaces the Kodaira dimension of the smooth locus is zero and the singular locus consists of a unique point of type and respectively.
Extremal rational elliptic surfaces in characteristic p. I. Beauville surfaces.