Elliptic curves and p -extensions
Compositio Mathematica, Tome 56 (1985) no. 2, pp. 237-250.
@article{CM_1985__56_2_237_0,
     author = {Rubin, Karl},
     title = {Elliptic curves and $\mathbb {Z}_p$-extensions},
     journal = {Compositio Mathematica},
     pages = {237--250},
     publisher = {Martinus Nijhoff Publishers},
     volume = {56},
     number = {2},
     year = {1985},
     mrnumber = {809869},
     zbl = {0599.14028},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1985__56_2_237_0/}
}
TY  - JOUR
AU  - Rubin, Karl
TI  - Elliptic curves and $\mathbb {Z}_p$-extensions
JO  - Compositio Mathematica
PY  - 1985
SP  - 237
EP  - 250
VL  - 56
IS  - 2
PB  - Martinus Nijhoff Publishers
UR  - http://archive.numdam.org/item/CM_1985__56_2_237_0/
LA  - en
ID  - CM_1985__56_2_237_0
ER  - 
%0 Journal Article
%A Rubin, Karl
%T Elliptic curves and $\mathbb {Z}_p$-extensions
%J Compositio Mathematica
%D 1985
%P 237-250
%V 56
%N 2
%I Martinus Nijhoff Publishers
%U http://archive.numdam.org/item/CM_1985__56_2_237_0/
%G en
%F CM_1985__56_2_237_0
Rubin, Karl. Elliptic curves and $\mathbb {Z}_p$-extensions. Compositio Mathematica, Tome 56 (1985) no. 2, pp. 237-250. http://archive.numdam.org/item/CM_1985__56_2_237_0/

[1] D. Bertrand: Probèmes arithmétiques liés à 1'exponentielle p-adique sur les courbes elliptiques. C.R. Acad. Sci. Paris Sér. A 282, (1976) 1399-1401. | MR | Zbl

[2] J.W.S. Cassels: Arithmetic on curves of genus 1 (VII). J. Reine Angew. Math. 216 (1964) 150-158. | MR | Zbl

[3] J.W.S. Cassels: Arithmetic on curves of genus 1 (VIII). J. Reine Angew. Math. 217 (1965) 180-199. | MR | Zbl

[4] J. Coates: Infinite descent on elliptic curves with complex multiplication. In: Progress in Math. Vol. 35, pp. 107-138 Boston: Birkhauser (1983). | MR | Zbl

[5] J. Coates and A. Wiles: On the conjecture of Birch and Swinnerton-Dyer. Invent. Math. 39 (1977) 223-251. | MR | Zbl

[6] R. Greenberg: On the structure of certain Galois groups. Invent. math. 47 (1978) 85-99. | MR | Zbl

[7] R. Greenberg: On the Birch and Swinnerton-Dyer conjecture. To appear. | MR | Zbl

[8] B. Gross and D. Zagier: To appear.

[9] G. Hochschild and J.-P. Serre: Cohomology of group extensions, Trans. Amer. Math. Soc. 74 (1953) 110-134. | MR | Zbl

[10] G. Konovalov: The universal G-norms of formal groups over a local field. Ukranian Math. J. 28 (1976) and 3 (1977) 310-311. | MR | Zbl

[11] E. Lutz: Sur 1'equation y2 = x3 - Ax - B dans les corps p-adiques. J. Reine Angew. Math. 177 (1977) 237-247. | JFM | Zbl

[12] D. Rohrlich: On L-functions of elliptic curves and anticyclotomic towers. To appear. | MR | Zbl

[13] D. Rohrlich: On L-functions of elliptic curves and cyclotomic towers. To appear. | MR | Zbl

[14] K. Rubin: On the arithmetic of CM elliptic curves in Zp-extensions. Thesis, Harvard University (1980).

[15] K. Rubin Elliptic Curves with complex multiplication and the conjecture of Birch and Swinnerton-dyer. Invent. Math. 64, (1981) 455-470. | MR | Zbl

[16] K. Rubin and A. Wiles: Mordell-Weil groups of elliptic curves over cyclotomic fields. In: Number Theory related to Fermat's last Theorem. Boston: Birkhauser (1982). | MR | Zbl

[17] J. Tate: Duality theorems in Galois cohomology over number fields. Proc. Internat. Congress Math. Stockholm 1962, pp. 288-295. | MR | Zbl

[18] M. Bashmakov: The cohomology of abelian varieties over a number field, Russian Math. Surveys 27 (1972) 25-70 | Zbl