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Explicit Form of the Hilbert Symbol on Polynomial Formal Module for Multidimensional Local Field. II

2017 ◽  
Vol 222 (4) ◽  
pp. 394-403
Author(s):  
S. V. Vostokov ◽  
V. V. Volkov
Keyword(s):  
Explicit Form ◽  
Local Field ◽  
Hilbert Symbol ◽  
Formal Module

An Explicit Form of the Hilbert Symbol for Polynomial Formal Groups Over a Multidimensional Local Field. I

2016 ◽  
Vol 219 (3) ◽  
pp. 370-374
Author(s):  
S. V. Vostokov ◽  
V. Volkov ◽  
M. V. Bondarko
Keyword(s):  
Explicit Form ◽  
Local Field ◽  
Hilbert Symbol ◽  
Formal Groups

scholarly journals Explicit form of the Hilbert symbol for polynomial formal groups

2015 ◽  
Vol 26 (5) ◽  
pp. 785-796 ◽  
Author(s):  
S. Vostokov ◽  
V. Volkov
Keyword(s):  
Explicit Form ◽  
Hilbert Symbol ◽  
Formal Groups

Graded Hilbert-symbol equivalence of number fields

2015 ◽  
Vol 35 (1) ◽  
pp. 105
Author(s):  
Przemysław Koprowski
Keyword(s):  
Number Fields ◽  
Hilbert Symbol

The Hilbert Symbol in Higher-Dimensional Local Fields for Formal Lubin–Tate Groups. II

2014 ◽  
Vol 202 (3) ◽  
pp. 346-359 ◽  
Author(s):  
S. S. Afanas’eva
Keyword(s):  
Local Fields ◽  
Hilbert Symbol ◽  
Higher Dimensional

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

2013 ◽  
Vol 5 (1) ◽  
pp. 94-101
Author(s):  
V.I. Nesteruk
Keyword(s):  
Elliptic Curves ◽  
Local Field ◽  
Abelian Varieties ◽  
Tate Pairing ◽  
Hilbert 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.

The Hilbert Symbol of Polynomial Formal Groups

2013 ◽  
Vol 192 (2) ◽  
pp. 196-199 ◽  
Author(s):  
S. V. Vostokov ◽  
V. V. Volkov ◽  
G. K. Pak
Keyword(s):  
Hilbert Symbol ◽  
Formal Groups

The Hilbert Symbol in Higher-Dimensional Local Fields for Formal Lubin−Tate Groups

2013 ◽  
Vol 192 (2) ◽  
pp. 137-153 ◽  
Author(s):  
S. S. Afanas’eva ◽  
B. M. Bekker ◽  
S. V. Vostokov
Keyword(s):  
Local Fields ◽  
Hilbert Symbol ◽  
Higher Dimensional
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