Non standard arithmetic and application to height functions

Gerhard Frey

Groupe de travail d'analyse ultramétrique (1981-1982)

  • Volume: 9, Issue: 3, page J1-J2

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Frey, Gerhard. "Non standard arithmetic and application to height functions." Groupe de travail d'analyse ultramétrique 9.3 (1981-1982): J1-J2. <http://eudml.org/doc/91900>.

@article{Frey1981-1982,
author = {Frey, Gerhard},
journal = {Groupe de travail d'analyse ultramétrique},
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},
language = {eng},
number = {3},
pages = {J1-J2},
publisher = {Secrétariat mathématique},
title = {Non standard arithmetic and application to height functions},
url = {http://eudml.org/doc/91900},
volume = {9},
year = {1981-1982},
}

TY - JOUR
AU - Frey, Gerhard
TI - Non standard arithmetic and application to height functions
JO - Groupe de travail d'analyse ultramétrique
PY - 1981-1982
PB - Secrétariat mathématique
VL - 9
IS - 3
SP - J1
EP - J2
LA - eng
KW - 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
UR - http://eudml.org/doc/91900
ER -

References

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  1. [1] Frey ( G.). - Rationale Punkte auf Fermatkurven und getwisteten Modulkurven, J. für reine und angew. Math., t. 331, 1982, p. 185-191. Zbl0474.14011MR647382
  2. [2] Frey ( G. ) . - Cyclic isogenies and nonstandard arithemtic, J. Number Theory, t. 12, 1980, p. 343-363. Zbl0439.14004MR586463
  3. [3] Kani ( E.). - Eine Verallgemeinerung des Satzes von Castelnuovo-Severi, J. für reine und angew. Math., t. 318, 1980, p. 178-220. Zbl0472.14017MR579391
  4. [4] Kani ( E.). - Nonstandard diophantine geometry, "Proceedings of the Queen's numberstheory conference [1979. Kingston]", p. 129-172. - Kingston, Queen's university, 1980 (Queen's Papers in pure and applied Mathematics, 54). Zbl0454.14010MR634687
  5. [5] Robinson ( A.) and Roquette ( P. ) . - On the finiteness theorem of Siegel and Mahler concerning diophantine equations, J. Number Theory, t. 7, 1975, p. 121- 176. Zbl0299.12107MR374022

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