Abstrakt
We classify tilting classes over regular rings R of Krull dimension two. They are parametrized by the set of all pairs (X,Y) such that X contains Ass(R) and is contained in Spec(R), Y consists of maximal ideals of height 2, and Y contains all the maximal ideals of height 2 that contain some element of X - Ass(R).
For R local, we also classify the corresponding infinitely generated tilting modules.