Strongly minimal countably categorical theories. II (Q1068080)

[For Part I see Sib. Math. Zh. 21, No.2, 98-112 (1980; Zbl 0486.03017).] The present paper contains a deep and thorough study of strongly minimal countably categorical structures \({\mathfrak A}\) using the geometry associated to \({\mathfrak A}\) by Marsh's algebraic closure operator. It is shown that in case \({\mathfrak A}\) is disintegrating, the corresponding geometry is either projective or affine over a finite field. By previous results of the author this implies, for example, that there is no complete finitely axiomatizable theory categorical in all infinite powers.