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On a $p$-adic analogue of Tate height
A. A. Berzin'sh
Abstract:
This paper is devoted to the study of the Tate height of an elliptic curve and its
$p$-adic analogue. The main result is a series of explicit formulas for computing the local archimedean part of the Tate height. These results are used to obtain
a new method for constructing the $p$-adic Tate height.
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English version:
Mathematics of the USSR-Izvestiya, 1983, 21:2, 201–210
Bibliographic databases:
 
UDC:
513.6
MSC: Primary 14G20, 14G25; Secondary 14K07
Received: 15.12.1980
Citation:
A. A. Berzin'sh, “On a $p$-adic analogue of Tate height”, Izv. Akad. Nauk SSSR Ser. Mat., 46:5 (1982), 899–908; Math. USSR-Izv., 21:2 (1983), 201–210
Citation in format AMSBIB
\Bibitem{Ber82}
\by A.~A.~Berzin'sh
\paper On a~$p$-adic analogue of Tate height
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1982
\vol 46
\issue 5
\pages 899--908
\mathnet{http://mi.mathnet.ru/izv1652}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=675524}
\zmath{https://zbmath.org/?q=an:0537.14015}
\transl
\jour Math. USSR-Izv.
\yr 1983
\vol 21
\issue 2
\pages 201--210
\crossref{https://doi.org/10.1070/IM1983v021n02ABEH001788}
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http://mi.mathnet.ru/eng/izv1652 http://mi.mathnet.ru/eng/izv/v46/i5/p899
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