On the Kolyvagin's formula, the Tate pairing associated to an isogeny, the local Artin map and the Hilberts symbol

On the Kolyvagin's formula, the Tate pairing associated to an isogeny, the local Artin map and the Hilberts symbol

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A proof of nondegeneracy of the Tate pairing and Kolyvagin's formula for elliptic curves with good reductions over an $n$-dimensional ($nleq 3$) pseudolocal field, the Tate pairing associated to an isogeny between abelian varieties over pseudolocal field and an $n$-dimensional ($nleq 3$) pseudo...

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Bibliographic Details
Main Author: V. I. Nesteruk
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2013-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Pseudolocal field
n-dimensional pseudolocal field
n-dimensional general local field
isogeny
Tate pairing associated to an isogeny
local Artin map
Hilbert symbol
Kolyvagin's formula
Online Access:http://journals.pu.if.ua/index.php/cmp/article/view/166/132

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