Geodesic
A remark on endomorphisms of abelian varieties over function fields of finite characteristic
Izvestiya. Mathematics, Tome 8 (1974) no. 3, pp. 477-480 
Yu. G. Zarhin. A remark on endomorphisms of abelian varieties over function fields of finite characteristic. Izvestiya. Mathematics, Tome 8 (1974) no. 3, pp. 477-480. http://geodesic.mathdoc.fr/item/IM2_1974_8_3_a1/
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     title = {A~remark on endomorphisms of abelian varieties over function fields of finite characteristic},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Assuming Tate's finiteness conjecture, we prove some consequences of Tate's conjecture on homomorphisms of abelian varieties.

[1] Zarkhin Yu. G., “Teorema konechnosti dlya izogenii abelevykh mnogoobrazii nad funktsionalnymi polyami konechnoi kharakteristiki”, Funktsionalnyi analiz i ego prilozheniya, 8:4 (1974), 31–34 | MR | Zbl

[2] Tate J., “Algebraic cycles and poles of Zeta-functions”, Arithmetical algebraic geometry, New York, 1965, 93–110 | MR | Zbl

[3] Tate J., “Endomorphisms of abelian varieties over finite fields”, Inv. Math., 2 (1966), 134–144 ; Matematika, 12:6 (1968), 31–46 | DOI | MR | Zbl

[4] Parshin A. N., “Minimalnye modeli krivykh roda 2 i gomomorfizmy abelevykh mnogoobrazii, opredelennykh nad polem konechnoi kharakteristiki”, Izv. AN SSSR. Ser. matem., 36 (1972), 67–109 | Zbl