We offer a new viewpoint on some of the generic structures constructed using Hrushovski’s predimensions and show that they are natural reducts of quite straightforward trivial, one-based stable structures. 2000 Mathematics Subject Classification: 03C45.

giving an abundant but rather uninteresting supply of solutions to equation (2). It is natural to restrict ones attention to the primitive solutions, which is what we will do from now on. Equations (1), (2) and (3) also have certain obvious “trivial” solutions: a solution is called trivial if xyz = 0 or ±1, and is called non-trivial otherwise. The work of Hellegouarch, Frey [12], Serre [27], an...

We investigated maximal Prym varieties on finite fields by attaining their upper bounds on the number of rational points. This concept gave us a motivation for defining a generalized definition of maximal curves i.e. maximal morphisms. By MAGMA, we give some non-trivial examples of maximal morphisms that results in non-trivial examples of maximal Prym varieties.