On the Kolyvagin's formula, the Tate pairing associated to an isogeny, the local Artin map and the Hilberts symbol
Copyright policy )On the Kolyvagin's formula, the Tate pairing associated to an isogeny, the local Artin map and the Hilberts symbol
A proof of nondegeneracy of the Tate pairing and Kolyvagin's formula for elliptic curves with good reductions over an $n$-dimensional $(n\leq 3)$ pseudolocal field, the Tate pairing associated to an isogeny between abelian varieties over pseudolocal field and an $n$-dimensional $(n\leq 3)$ pseudolocal field, and the relations of local Artin map and of the Hilbert symbol for an $n$-dimensional $(n\leq 3)$ general local field is given.
local artin map, \(n\)-dimensional general local field, $n$-dimensional pseudolocal field, Kolyvagin's formula, Псевдолокальное поле, $n$-мерное псевдолокальное поле, $n$-мерное общее локальное поле, изогения, спаривание Тэйта ассоциированого на изогении, локальное отображения Артина, символ Гильберта, формула Колывагина, pseudolocal field, isogeny, kolyvagin's formula, local Artin map, QA1-939, 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, Hilbert symbol, Isogeny, n-dimensional pseudolocal field, tate pairing associated to an isogeny, Pseudolocal field, Tate pairing associated to an isogeny, hilbert symbol, Elliptic curves over global fields, \(n\)-dimensional pseudolocal field, n-dimensional general local field, $n$-dimensional general local field, Псевдолокальне поле, $n$-вимірне псевдолокальне поле, $n$-вимірне загальне локальне поле, ізогенія, добуток Тейта асоційований на ізогенії, локальне відображення Артіна, символ Гільберта, формула Коливагіна, Mathematics
local artin map, \(n\)-dimensional general local field, $n$-dimensional pseudolocal field, Kolyvagin's formula, Псевдолокальное поле, $n$-мерное псевдолокальное поле, $n$-мерное общее локальное поле, изогения, спаривание Тэйта ассоциированого на изогении, локальное отображения Артина, символ Гильберта, формула Колывагина, pseudolocal field, isogeny, kolyvagin's formula, local Artin map, QA1-939, 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, Hilbert symbol, Isogeny, n-dimensional pseudolocal field, tate pairing associated to an isogeny, Pseudolocal field, Tate pairing associated to an isogeny, hilbert symbol, Elliptic curves over global fields, \(n\)-dimensional pseudolocal field, n-dimensional general local field, $n$-dimensional general local field, Псевдолокальне поле, $n$-вимірне псевдолокальне поле, $n$-вимірне загальне локальне поле, ізогенія, добуток Тейта асоційований на ізогенії, локальне відображення Артіна, символ Гільберта, формула Коливагіна, Mathematics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!