Geodesic
Selmer groups and torsion zero cycles on the selfproduct of a semistable elliptic curve
Documenta mathematica, Tome 2 (1997), pp. 47-59.

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

Summary: In this paper we extend the finiteness result on the $p$-primary torsion subgroup in the Chow group of zero cycles on the selfproduct of a semistable elliptic curve obtained in joint work with S. Saito to primes $p$ dividing the conductor. On the way we show the finiteness of the Selmer group associated to the symmetric square of the elliptic curve for those primes. The proof uses $p$-adic techniques, in particular the Fontaine-Jannsen conjecture proven by Kato and Tsuji.
Classification : 14H52, 19E15, 14F30.$\break$
Keywords: torsion zero cycles, semistable elliptic curve, multiplicative reduction primes, Selmer group of the symmetric square, hyodo-Kato cohomology 
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     author = {Langer, Andreas},
     title = {Selmer groups and torsion zero cycles on the selfproduct of a semistable elliptic curve},
     journal = {Documenta mathematica},
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     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_1997__2__a12/}
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Langer, Andreas. Selmer groups and torsion zero cycles on the selfproduct of a semistable elliptic curve. Documenta mathematica, Tome 2 (1997), pp. 47-59. http://geodesic.mathdoc.fr/item/DOCMA_1997__2__a12/