Quelques aspects de la descente sur une courbe elliptique dans le cas de réduction supersingulière

Patrick Billot

Compositio Mathematica (1986)

  • Volume: 58, Issue: 3, page 341-369
  • ISSN: 0010-437X

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Billot, Patrick. "Quelques aspects de la descente sur une courbe elliptique dans le cas de réduction supersingulière." Compositio Mathematica 58.3 (1986): 341-369. <http://eudml.org/doc/89774>.

@article{Billot1986,
author = {Billot, Patrick},
journal = {Compositio Mathematica},
keywords = {torsion submodule of the Pontryagin dual of the Selmer group of an elliptic curve; complex multiplication; supersingular reduction; Iwasawa algebra},
language = {fre},
number = {3},
pages = {341-369},
publisher = {Martinus Nijhoff Publishers},
title = {Quelques aspects de la descente sur une courbe elliptique dans le cas de réduction supersingulière},
url = {http://eudml.org/doc/89774},
volume = {58},
year = {1986},
}

TY - JOUR
AU - Billot, Patrick
TI - Quelques aspects de la descente sur une courbe elliptique dans le cas de réduction supersingulière
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 58
IS - 3
SP - 341
EP - 369
LA - fre
KW - torsion submodule of the Pontryagin dual of the Selmer group of an elliptic curve; complex multiplication; supersingular reduction; Iwasawa algebra
UR - http://eudml.org/doc/89774
ER -

References

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  1. [LC] A. Grothendieck: Local cohomology, Lectures notes in Math.41, Springer Verlag, Berlin (1967). Zbl0185.49202MR224620
  2. [1] P. Billot: Thèse 3ème cycle, Orsay. Groupe de Selmer et Théorie d'Iwasawa. 
  3. [2] A. Cuoco: The growth of Iwasawa invariants in a family, Compositio Math., Vol. 41, fasc 3 (1980) 415-437. Zbl0415.12002MR589090
  4. [3] R. Greenberg: On the structure of certain Galois groups, Inventiones Math.47 (1978) 85-99. Zbl0403.12004MR504453
  5. [4] K. Iwasawa: Zl-extensions of number fields, Notes d'un cours à Princeton rédigées par R. Greenberg. 
  6. [5] Konovalov: The universal G-norms of formal groups over a local field, Vkranian Math. J.28 (1976) 310-311. Zbl0345.14015MR439853
  7. [6] B. Perrin-Riou: Thèse d'Etat, Orsay, Arithmétique des courbes elliptiques, (1983). Zbl0599.14020
  8. [7] K. Rubin: Elliptic curves and Zp-extensions, à paraître. 
  9. [8] J. Tate: W.C. groups over p-adic fields, Séminaire Bourbaki, No. 156 (1957). Zbl0091.33701
  10. [9] F. Diaz et Diaz: Tables minorant la racine n-ième du disriminant d'un corps de degré n, Publications Math.Orsay (1980). Zbl0482.12003

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