On the p-rank of an abelian variety and its endomorphism algebra
On the p-rank of an abelian variety and its endomorphism algebra
Let A be an abelian variety defined over a finite field.In this paper, we discuss the relationship between the p-rank of A, r(A), and its endomorphism algebra, End 0 (A).As is well known, End 0 (A) determines r(A) when A is an elliptic curve.We show that, under some conditions, the …