Let be an elliptic curve over , let be an imaginary quadratic field, and let be a -extension of . Given a set of primes of , containing the primes above , and the primes of bad reduction for , write for the maximal algebraic extension of which is unramified outside . This paper is devoted to the study of the structure of the cohomology groups for and of the -primary Selmer group Sel, viewed as discrete modules over the Iwasawa algebra of
Soit une courbe elliptique sur , soit un corps quadratique imaginaire, et soit une -extension de . Étant donné un ensemble de places de contenant les places au dessus de et les places de mauvaise réduction de , nous notons l’extension maximale de non ramifiée en-dehors de . Cet article est consacré à l’étude de la structure des groupes de cohomologie pour et de la composante -primaire du groupe de Selmer Sel, considérés comme modules discrets sur l’algèbre d’Iwasawa de
@article{JTNB_2001__13_1_1_0, author = {Bertolini, Massimo}, title = {Iwasawa theory for elliptic curves over imaginary quadratic fields}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {1--25}, publisher = {Universit\'e Bordeaux I}, volume = {13}, number = {1}, year = {2001}, mrnumber = {1838067}, zbl = {1061.11058}, language = {en}, url = {http://archive.numdam.org/item/JTNB_2001__13_1_1_0/} }
TY - JOUR AU - Bertolini, Massimo TI - Iwasawa theory for elliptic curves over imaginary quadratic fields JO - Journal de théorie des nombres de Bordeaux PY - 2001 SP - 1 EP - 25 VL - 13 IS - 1 PB - Université Bordeaux I UR - http://archive.numdam.org/item/JTNB_2001__13_1_1_0/ LA - en ID - JTNB_2001__13_1_1_0 ER -
Bertolini, Massimo. Iwasawa theory for elliptic curves over imaginary quadratic fields. Journal de théorie des nombres de Bordeaux, Volume 13 (2001) no. 1, pp. 1-25. http://archive.numdam.org/item/JTNB_2001__13_1_1_0/
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