Geodesic
A remark on endomorphisms of abelian varieties over function fields of finite characteristic
Izvestiya. Mathematics, Tome 8 (1974) no. 3, pp. 477-480 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Assuming Tate's finiteness conjecture, we prove some consequences of Tate's conjecture on homomorphisms of abelian varieties. 
@article{IM2_1974_8_3_a1,
     author = {Yu. G. Zarhin},
     title = {A~remark on endomorphisms of abelian varieties over function fields of finite characteristic},
     journal = {Izvestiya. Mathematics},
     pages = {477--480},
     year = {1974},
     volume = {8},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1974_8_3_a1/}
}
TY  - JOUR
AU  - Yu. G. Zarhin
TI  - A remark on endomorphisms of abelian varieties over function fields of finite characteristic
JO  - Izvestiya. Mathematics
PY  - 1974
SP  - 477
EP  - 480
VL  - 8
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/IM2_1974_8_3_a1/
LA  - en
ID  - IM2_1974_8_3_a1
ER  - 
%0 Journal Article
%A Yu. G. Zarhin
%T A remark on endomorphisms of abelian varieties over function fields of finite characteristic
%J Izvestiya. Mathematics
%D 1974
%P 477-480
%V 8
%N 3
%U http://geodesic.mathdoc.fr/item/IM2_1974_8_3_a1/
%G en
%F IM2_1974_8_3_a1
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/

[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