On the Tate pairing associated to an isogeny between abelian varieties over pseudofinite field

被引：0
|
作者：
Nesteruk, Volodymyr [1 ]
机构：
[1] Ivan Franko Natl Univ, Mech & Math Fac, Algebra & Log Dept, Univ Str, UA-79000 Lvov, Ukraine
来源：
ALGEBRA & DISCRETE MATHEMATICS | 2013年 / 16卷 / 01期
关键词：
pseudofinite field; isogeny; Tate pairing associated to an isogeny;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note, we consider the Tate pairing associated to an isogeny between abelian varieties over pseudofinite field. P. Bruin 1 defined this pairing over finite field k: ker phi(k) x raker (phi(k)) -> k* arid proved its perfectness oVer finite field, prove perfectness of the Tate pairing associated to an isogeny between abelian varieties over pseudofirtite field, with help of the method, used by P. Bruin in the case of -finite ground field [1]
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页码：103 / 106
页数：4
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