On the number of elliptic curves with CM cover large algebraic fields
Gerhard Frey[1]; Moshe Jarden[2]
- [1] Essen University, Institute for Experimental Mathematics, Ellernstrasse 29, 45326 Essen (Allemagne)
- [2] Tel Aviv University, School of Mathematics, Ramat Aviv, Tel Aviv 69978 (Israël)
Annales de l'institut Fourier (2005)
- Volume: 55, Issue: 7, page 2361-2374
- ISSN: 0373-0956
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topFrey, Gerhard, and Jarden, Moshe. "On the number of elliptic curves with CM cover large algebraic fields." Annales de l'institut Fourier 55.7 (2005): 2361-2374. <http://eudml.org/doc/116256>.
@article{Frey2005,
abstract = {Elliptic curves with CM unveil a new phenomenon in the theory of large algebraic fields. Rather than drawing a line between $0$ and $1$ or $1$ and $2$ they give an example where the line goes beween $2$ and $3$ and another one where the line goes between $3$ and $4$.},
affiliation = {Essen University, Institute for Experimental Mathematics, Ellernstrasse 29, 45326 Essen (Allemagne); Tel Aviv University, School of Mathematics, Ramat Aviv, Tel Aviv 69978 (Israël)},
author = {Frey, Gerhard, Jarden, Moshe},
journal = {Annales de l'institut Fourier},
keywords = {Elliptic curves with CM; large algebraic fields; absolute Galois group; Haar measure; class number},
language = {eng},
number = {7},
pages = {2361-2374},
publisher = {Association des Annales de l'Institut Fourier},
title = {On the number of elliptic curves with CM cover large algebraic fields},
url = {http://eudml.org/doc/116256},
volume = {55},
year = {2005},
}
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
PB - Association des Annales de l'Institut Fourier
VL - 55
IS - 7
SP - 2361
EP - 2374
AB - Elliptic curves with CM unveil a new phenomenon in the theory of large algebraic fields. Rather than drawing a line between $0$ and $1$ or $1$ and $2$ they give an example where the line goes beween $2$ and $3$ and another one where the line goes between $3$ and $4$.
LA - eng
KW - Elliptic curves with CM; large algebraic fields; absolute Galois group; Haar measure; class number
UR - http://eudml.org/doc/116256
ER -
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