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.
|Original language||English (US)|
|Number of pages||5|
|Journal||Mathematical Notes of the Academy of Sciences of the USSR|
|State||Published - Mar 1 1976|
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