@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/} }
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] 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] Arithmetic on curves of genus 1 (VII). J. Reine Angew. Math. 216 (1964) 150-158. | MR | Zbl
:[3] Arithmetic on curves of genus 1 (VIII). J. Reine Angew. Math. 217 (1965) 180-199. | MR | Zbl
:[4] Infinite descent on elliptic curves with complex multiplication. In: Progress in Math. Vol. 35, pp. 107-138 Boston: Birkhauser (1983). | MR | Zbl
:[5] On the conjecture of Birch and Swinnerton-Dyer. Invent. Math. 39 (1977) 223-251. | MR | Zbl
and :[6] On the structure of certain Galois groups. Invent. math. 47 (1978) 85-99. | MR | Zbl
:[7] On the Birch and Swinnerton-Dyer conjecture. To appear. | MR | Zbl
:[8]
and : To appear.[9] Cohomology of group extensions, Trans. Amer. Math. Soc. 74 (1953) 110-134. | MR | Zbl
and :[10] The universal G-norms of formal groups over a local field. Ukranian Math. J. 28 (1976) and 3 (1977) 310-311. | MR | Zbl
:[11] Sur 1'equation y2 = x3 - Ax - B dans les corps p-adiques. J. Reine Angew. Math. 177 (1977) 237-247. | JFM | Zbl
:[12] On L-functions of elliptic curves and anticyclotomic towers. To appear. | MR | Zbl
:[13] On L-functions of elliptic curves and cyclotomic towers. To appear. | MR | Zbl
:[14] On the arithmetic of CM elliptic curves in Zp-extensions. Thesis, Harvard University (1980).
:[15] with complex multiplication and the conjecture of Birch and Swinnerton-dyer. Invent. Math. 64, (1981) 455-470. | MR | Zbl
[16] Mordell-Weil groups of elliptic curves over cyclotomic fields. In: Number Theory related to Fermat's last Theorem. Boston: Birkhauser (1982). | MR | Zbl
and :[17] Duality theorems in Galois cohomology over number fields. Proc. Internat. Congress Math. Stockholm 1962, pp. 288-295. | MR | Zbl
:[18] The cohomology of abelian varieties over a number field, Russian Math. Surveys 27 (1972) 25-70 | Zbl
: