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Zbl 0513.12021
Frey, Gerhard
Non standard arithmetic and application to height functions. (English)
[A] Groupe Etude Anal. Ultrametrique 9e Annee: 1981/82, No.3, No.J 8, 2 p. (1983).

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MSC 2000:
*12L15 Nonstandard arithmetic for fields
03C20 Ultraproducts and related constructions
11F03 Modular and automorphic functions
14H25 Arithmetic ground fields (curves)
14G05 Rationality questions, rational points
14G20 p-adic ground fields
14H52 Elliptic curves

Keywords: rational points of Jacobians of curves; Neron-Tate height; non standard arithmetic in number fields; Fricke involution; Hecke operator; Mordell conjecture; elliptic curve; number of isogenies

Citations: Zbl 0454.14010

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