Independence of points on elliptic curves arising from special points on modular and Shimura curves, I: Global results
Buium, Alexandru ; Poonen, Bjorn
Duke Math. J., Tome 146 (2009) no. 1, p. 181-191 / Harvested from Project Euclid
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Given a correspondence between a modular curve $S$ and an elliptic curve $A$ , we prove that the intersection of any finite-rank subgroup of $A$ with the set of points on $A$ corresponding to CM points on $S$ is finite. We prove also a version in which $S$ is replaced by a Shimura curve and $A$ is replaced by a higher-dimensional abelian variety
Publié le : 2009-03-15
Classification:  11G18,  14G20 
@article{1235657192,
     author = {Buium, Alexandru and Poonen, Bjorn},
     title = {Independence of points on elliptic curves arising from special points on modular and Shimura curves, I: Global results},
     journal = {Duke Math. J.},
     volume = {146},
     number = {1},
     year = {2009},
     pages = { 181-191},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1235657192}
}

Buium, Alexandru; Poonen, Bjorn. Independence of points on elliptic curves arising from special points on modular and Shimura curves, I: Global results. Duke Math. J., Tome 146 (2009) no. 1, pp.  181-191. http://gdmltest.u-ga.fr/item/1235657192/