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

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 \(k\): \(\mathrm{ker}\,\hat{\phi}(k) \; \times \; \mathrm{coker}\,(\phi(k)) \longrightarrow k^*\), and proved its perfectness ove...

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Bibliographische Detailangaben
Datum:2018
1. Verfasser: Nesteruk, Volodymyr
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2018
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/759
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics