On the Tate pairing associated to an isogeny between abelian varieties over pseudofinite field
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On the Tate pairing associated to an isogeny between abelian varieties over pseudofinite field
|
|
| Creator |
Nesteruk, V.
|
|
| Description |
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 ˆφ(k) × coker(φ(k)) ⟶ k∗, and proved its perfectness over finite field. We prove perfectness of the Tate pairing associated to an isogeny between abelian varieties over pseudofinite field, with help of the method, used by P. Bruin in the case of finite ground field [1].
|
|
| Date |
2019-06-09T17:19:24Z
2019-06-09T17:19:24Z 2013 |
|
| Type |
Article
|
|
| Identifier |
On the Tate pairing associated to an isogeny between abelian varieties over pseudofinite field / V. Nesteruk // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 1. — С. 103–106. — Бібліогр.: 8 назв. — англ.
1726-3255 2010 MSC:12G99, 14H05, 14K02. http://dspace.nbuv.gov.ua/handle/123456789/152312 |
|
| Language |
en
|
|
| Relation |
Algebra and Discrete Mathematics
|
|
| Publisher |
Інститут прикладної математики і механіки НАН України
|
|