Geodesic
$p$-Selmer group and modular symbols
Documenta mathematica, Tome 27 (2022), pp. 1891-1922.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We prove that the dimension of the $p$-Selmer group of an elliptic curve is controlled by certain analytic quantities associated with modular symbols as conjectured by Kurihara.
Classification : 11R23, 11R34, 11G05, 11G40
Keywords: \(p\)-Selmer group, modular symbols, elliptic curves, Euler systems, Kolyvagin systems, Mazur-Tate conjecture 
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     author = {Sakamoto, Ryotaro},
     title = {\(p\)-Selmer group and modular symbols},
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     pages = {1891--1922},
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     volume = {27},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2022__27__a18/}
}
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Sakamoto, Ryotaro. \(p\)-Selmer group and modular symbols. Documenta mathematica, Tome 27 (2022), pp. 1891-1922. http://geodesic.mathdoc.fr/item/DOCMA_2022__27__a18/