Elliptic curves and ordinary Abelian varieties over finite fields.

摘要

his dissertation consists of two independent chapters. In the first chapter, we fix a prime power q and let k be a field with q elements. For every pair of positive integers m and n with ;The second chapter is divided into three major parts. The first part concerns a theorem of Deligne that describes an equivalence of categories between the category of ordinary abelian varieties over a finite field k and a category