Groupe de Selmer d'une courbe elliptique à multiplication complexe
Compositio Mathematica (1981)
- Volume: 43, Issue: 3, page 387-417
- ISSN: 0010-437X
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topPerrin-Riou, Bernadette. "Groupe de Selmer d'une courbe elliptique à multiplication complexe." Compositio Mathematica 43.3 (1981): 387-417. <http://eudml.org/doc/89508>.
@article{Perrin1981,
author = {Perrin-Riou, Bernadette},
journal = {Compositio Mathematica},
keywords = {elliptic curve with complex multiplication; -extension; imaginary quadratic number field; Leopoldt conjecture; Selmer group; Mordell-Weil group; Birch-Swinnerton-Dyer conjecture},
language = {fre},
number = {3},
pages = {387-417},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Groupe de Selmer d'une courbe elliptique à multiplication complexe},
url = {http://eudml.org/doc/89508},
volume = {43},
year = {1981},
}
TY - JOUR
AU - Perrin-Riou, Bernadette
TI - Groupe de Selmer d'une courbe elliptique à multiplication complexe
JO - Compositio Mathematica
PY - 1981
PB - Sijthoff et Noordhoff International Publishers
VL - 43
IS - 3
SP - 387
EP - 417
LA - fre
KW - elliptic curve with complex multiplication; -extension; imaginary quadratic number field; Leopoldt conjecture; Selmer group; Mordell-Weil group; Birch-Swinnerton-Dyer conjecture
UR - http://eudml.org/doc/89508
ER -
References
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- [6] R. Greenberg: On the structure of certains Galois groups. Inventiones Math.47 (1978) 85-99. Zbl0403.12004MR504453
- [7] B.H. Gross: Arithmetic on elliptic curves with complex multiplication. Lecture notes in Mathematics776, Berlin-Heidelberg-New York: Springer (1980). Zbl0433.14032MR563921
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- [9] M. Harris: Systematic growth of Mordell-Weil groups of abelian varieties in towers of number fields. Inventiones Math.51 (1979) 123-141. Zbl0429.14013MR528019
- [10] P.F. Kurchanov: Elliptic curves of infinite rank over Γ-extensions. Mat. U.S.S.R. Sbornik. Vol 19, No. 2 (1973). Zbl0273.14009
- [11] S. Lang et J. Tate: Principal homogeneous spaces over abelian varieties. American J. of Math.78 (1956) 659-684. Zbl0097.36203MR106226
- [12] B. Mazur: Rational points on abelian varieties with values in towers of number fields. Inventiones Math.18 (1972) 183-266. Zbl0245.14015MR444670
- [13] B. Mazur: Trees of rational points on elliptic curves. (Non publié).
- [14] J.-P. Wintenberger: Structure galoisienne de limites projectives d'unités locales. Compositio Mathematica, 42 (1980) 89-104. Zbl0414.12008MR594484
Citations in EuDML Documents
top- John Coates, Takako Fukaya, Kazuya Kato, Ramdorai Sujatha, Otmar Venjakob, The GL2 main conjecture for elliptic curves without complex multiplication
- Jacques Tilouine, Fonctions -adiques à deux variables et -extensions
- Bernadette Perrin-Riou, Arithmétique des courbes elliptiques et théorie d'Iwasawa
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