Generalized Kummer surfaces and differentiable invariants of Noether-Horikawa surfaces 1

摘要

The moduli spaces M of surfaces of general type with a fixed topological type are known to have several connected components: there is a map (pi)(sub 0) (M) (yields) Diff, where Diff is the set of differentiable types of 4-manifolds. The unsolved question is whether this map is injective or not. The simplest surfaces of general type for which the moduli space is known to be disconnected are the so called Noether-Horikawa surfaces, for which one should try to calculate the Donaldson differentiable invariants. 28 refs. (Atomindex citation 26:012167)