This article is cited in 14 papers

Isogenies of Abelian varieties over fields of finite characteristic

Yu. G. Zarhin


Abstract: It is proved that Tate's finiteness conjecture for isogenies of Abelian varieties over fields of characteristic other than 2 can be formally deduced from the conjecture on the resolution of singularities.
Bibliography: 4 titles.

UDC: 513.015.7

MSC: Primary 14K10; Secondary 14K15, 14G25

Received: 04.03.1974

 English version: Mathematics of the USSR-Sbornik, 1974, 24:3, 451–461

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