Fonctions L p -adiques, théorie d’Iwasawa et points de Heegner

Bernadette Perrin-Riou

Bulletin de la Société Mathématique de France (1987)

  • Volume: 115, page 399-456
  • ISSN: 0037-9484

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Perrin-Riou, Bernadette. "Fonctions $L$$p$-adiques, théorie d’Iwasawa et points de Heegner." Bulletin de la Société Mathématique de France 115 (1987): 399-456. <http://eudml.org/doc/87541>.

@article{Perrin1987,
author = {Perrin-Riou, Bernadette},
journal = {Bulletin de la Société Mathématique de France},
keywords = {Iwasawa module; modular elliptic curve; Heegner points; height pairing; algebraic -adic -function},
language = {fre},
pages = {399-456},
publisher = {Société mathématique de France},
title = {Fonctions $L$$p$-adiques, théorie d’Iwasawa et points de Heegner},
url = {http://eudml.org/doc/87541},
volume = {115},
year = {1987},
}

TY - JOUR
AU - Perrin-Riou, Bernadette
TI - Fonctions $L$$p$-adiques, théorie d’Iwasawa et points de Heegner
JO - Bulletin de la Société Mathématique de France
PY - 1987
PB - Société mathématique de France
VL - 115
SP - 399
EP - 456
LA - fre
KW - Iwasawa module; modular elliptic curve; Heegner points; height pairing; algebraic -adic -function
UR - http://eudml.org/doc/87541
ER -

References

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  1. [1] BERNARDI (D.), GOLDSTEIN (C.) et STEPHENS (N.). — Notes p-adiques sur les courbes elliptiques, J. reine angew. Math. t. 351, 1984, p. 129-170. Zbl0529.14018MR85k:11029
  2. [2] BERTRAND (D.). — Propriétés arithmétiques de fonctions thêta à plusieurs variables. Journées arithmétiques de Leiden, 1983. 
  3. [3] GROSS (B. H.). — On the conjecture of Birch and Swinnerton-Dyer for elliptic curves with complex multiplication, dans Number Theory related to Fermat's Last Theorem : Progress in Math., t. 26, 1982, p. 219-236. Zbl0506.14040MR84e:14020
  4. [4] GROSS (B. H.). — Heegner points on Xo(N), dans Modular forms, RANKIN (R. A.) éd., Ellis Horwood Limited, 1984, p. 87-105. Zbl0559.14011MR87f:11036b
  5. [5] GROSS (B. H.) et ZAGIER (D.). — Points de Heegner et dérivées de fonctions L. C.R. Acad. Sci. Paris, t. 297, 1983, p. 85-87. Zbl0538.14023MR85d:11062
  6. [6] KURCANOV (P. F.). — Elliptic curves of infinite rank over Γ-extensions, Math. Sbornik, t. 90, (132), 1973 ; Math. U.S.S.R. Sbornik, vol. 19, n 2, 1973, p. 320-324. Zbl0273.14009MR48 #6117
  7. [7] MAZUR (B.) et TATE (J.). — Canonical height painngs via biextensions, vol. dédié à Shafarevich, Progress in Math., t. 35-36, 1983, p. 195-237. Zbl0574.14036MR85j:14081
  8. [8] MAZUR (B.). — Modular curves and arithmetic, Proc. Int. congress. Warszawa, 1983, p. 185-211. Zbl0597.14023MR87a:11054
  9. [9] PERRIN-RIOU (B.). — Arithmétique des courbes elliptiques et théorie d'Iwasawa, Mémoire 17, S.M.F., supplément au fascicule IV, t. 112, 1984. Zbl0599.14020MR87h:11058
  10. [10] PERRIN-RIOU (B.). — Fonctions L p-adiques attachées à une courbe elliptique modulaire et à un corps quadratique imaginaire, Lond. Math. Soc. (à paraître). 
  11. [11] PERRIN-RIOU (B.). — Fonctions L p-adiques et points de Heegner, Journées arithmétiques de Besançon, Société Mathématique de France, Astérisque, n° 147-148, 1987, p. 151-171. Zbl0636.14005
  12. [12] Modular functions of one variable IV, Springer Lectures Notes, vol. 476, p. 82-113. 
  13. [1] BASHMAKOV (M. I.). — The cohomology of abelian varieties over a number field, Russian Math. Surveys, vol. 27, 1972, p. 25-70. Zbl0271.14010MR53 #2961
  14. [2] CASSELS (J. W. S.). — Arithmetic on curves of genus 1, J. Reine angew. Math. (VII), t. 216, 1964, p. 150-158. Zbl0146.42304MR30 #92
  15. [3] SERRE (J.-P.). — Corps locaux, Hermann, Paris, 1968. MR50 #7096
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  17. [5] TATE (J.). — Duality theorems in Galois cohomology over number fields, Proc. Int. Congress, Stockholm, 1962, p. 288-295. Zbl0126.07002MR31 #168

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