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періодичних видань НАН України
On the Tate pairing associated to an isogeny between abelian varieties over pseudofinite field
Репозиторій DSpace/Manakin
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On the Tate pairing associated to an isogeny between abelian varieties over pseudofinite field
Інший ID:
2010 MSC:12G99, 14H05, 14K02.
Посилання:
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.
Дата:
2013
Переглядів:
577
Завантажень:
212
Анотація:
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].
