Geodesic
$p$-adic $L$-functions and Selmer varieties associated to elliptic curves with complex multiplication
Minhyong Kim1
1 Department of Mathematics, University College London, Gower Street, London WC1E 6BT, United Kingdom and Korea Institute for Advanced Study, Hoegiro 87, Dongdaemun-gu, Seoul 130-722, Korea
Annals of mathematics, Tome 172 (2010) no. 1, pp. 751-759.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We show how the finiteness of integral points on an elliptic curve over $\mathbb{Q}$ with complex multiplication can be accounted for by the nonvanishing of $L$-functions that leads to bounds for dimensions of Selmer varieties.
DOI : 10.4007/annals.2010.172.751

Minhyong Kim 1

1 Department of Mathematics, University College London, Gower Street, London WC1E 6BT, United Kingdom and Korea Institute for Advanced Study, Hoegiro 87, Dongdaemun-gu, Seoul 130-722, Korea 
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Minhyong Kim. $p$-adic $L$-functions and Selmer varieties associated to elliptic curves with complex multiplication. Annals of mathematics, Tome 172 (2010) no. 1, pp. 751-759. doi : 10.4007/annals.2010.172.751. http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.172.751/

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