Mathematics of the USSR-Izvestiya · 1983 · 43 citations · 8 references
Geometry Of NumberHodge ConjectureSchubert CalculusCommutative AlgebraComplex NumbersComplex GeometryAlgebraic Cycles
The Hodge conjecture on algebraic cycles is proved for all simple abelian varieties of prime dimension over the field of complex numbers.
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Endomorphisms of abelian varieties over finite fields
John Tate · Inventiones mathematicae · 1966 · 675 citations
Algebraic cycles and poles of zeta functions
John Tate · Medical Entomology and Zoology · 1965 · 312 citations