Elliptic curves with CM unveil a new phenomenon in the theory of large algebraic fields. Rather than drawing a line between and or and they give an example where the line goes beween and and another one where the line goes between and .
Les courbes elliptiques avec CM révèlent un nouveau phénomène dans la théorie des grands corps algébriques. Plutôt que de tracer une ligne entre et ou entre et , elles fournissent un exemple où la ligne va de à , ainsi qu’un exemple de ligne allant de à
Keywords: Elliptic curves with CM, large algebraic fields, absolute Galois group, Haar measure, class number, Elliptic curves with CM, large algebraic fields, absolute Galois group, Haar measure, class number
Mot clés : courbes elliptiques avec CM, grands corps algébriques, groupe de Galois absolu, mesure de Haar, nombre de classes
@article{AIF_2005__55_7_2361_0, author = {Frey, Gerhard and Jarden, Moshe}, title = {On the number of elliptic curves with {CM} cover large algebraic fields}, journal = {Annales de l'Institut Fourier}, pages = {2361--2374}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {55}, number = {7}, year = {2005}, doi = {10.5802/aif.2163}, mrnumber = {2207386}, zbl = {1090.11036}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.2163/} }
TY - JOUR AU - Frey, Gerhard AU - Jarden, Moshe TI - On the number of elliptic curves with CM cover large algebraic fields JO - Annales de l'Institut Fourier PY - 2005 SP - 2361 EP - 2374 VL - 55 IS - 7 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.2163/ DO - 10.5802/aif.2163 LA - en ID - AIF_2005__55_7_2361_0 ER -
%0 Journal Article %A Frey, Gerhard %A Jarden, Moshe %T On the number of elliptic curves with CM cover large algebraic fields %J Annales de l'Institut Fourier %D 2005 %P 2361-2374 %V 55 %N 7 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.2163/ %R 10.5802/aif.2163 %G en %F AIF_2005__55_7_2361_0
Frey, Gerhard; Jarden, Moshe. On the number of elliptic curves with CM cover large algebraic fields. Annales de l'Institut Fourier, Volume 55 (2005) no. 7, pp. 2361-2374. doi : 10.5802/aif.2163. http://www.numdam.org/articles/10.5802/aif.2163/
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