On the Tate pairing associated to an isogeny between abelian varieties over pseudofinite field

dc.contributor.author	Nesteruk, V.
dc.date.accessioned	2019-06-09T17:19:24Z
dc.date.available	2019-06-09T17:19:24Z
dc.date.issued	2013
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC:12G99, 14H05, 14K02.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/152312
dc.description.abstract	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].	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	On the Tate pairing associated to an isogeny between abelian varieties over pseudofinite field	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA