Geodesic
Abelian varieties in characteristic $p$
Matematičeskie zametki, Tome 19 (1976) no. 3, pp. 393-400.

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In this paper Tate's finiteness conjecture for isogenies of polarized Abelian varieties in characteristic $p>2$ is proved. From this conjecture it is deduced that Tate modules are semisimple and that Tate's conjecture on the homomorphisms of Abelian varieties is valid. 
@article{MZM_1976_19_3_a8,
     author = {Yu. G. Zarhin},
     title = {Abelian varieties in characteristic $p$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {393--400},
     publisher = {mathdoc},
     volume = {19},
     number = {3},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1976_19_3_a8/}
}
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Yu. G. Zarhin. Abelian varieties in characteristic $p$. Matematičeskie zametki, Tome 19 (1976) no. 3, pp. 393-400. http://geodesic.mathdoc.fr/item/MZM_1976_19_3_a8/