The isogeny class of a CM-type abelian variety is defined over a finite extension of the prime field

Introduction to the Arithmetic Theory of Automorphic Functions

Marvin Tretkoff, Goro Shimura · Mathematics of Computation · 1972 · 2.1K citations

Natural Sciences, Mathematics, Algebra +8

Good Reduction of Abelian Varieties

Jean-Pierre Serre, John Tate · Annals of Mathematics · 1968 · 875 citations

Computing, Botany, Pruning Systems +2

Endomorphisms of abelian varieties over finite fields

John Tate · Inventiones mathematicae · 1966 · 695 citations

Natural Sciences, Enology, Field-programmable Gate Arrays +7

THE THEORY OF COMMUTATIVE FORMAL GROUPS OVER FIELDS OF FINITE CHARACTERISTIC

Yu. I. Manin · Russian Mathematical Surveys · 1963 · 305 citations

Natural Sciences, Mathematics, Algebra +11

Rational Points of Abelian Varieties Over Function Fields

Serge Lang, Andrée Néron · American Journal of Mathematics · 1959 · 115 citations

Natural Sciences, Computer Engineering, Field-programmable Gate Arrays +7