Geodesic
Selmer groups and torsion zero cycles on the selfproduct of a semistable elliptic curve
Documenta mathematica, Tome 2 (1997), pp. 47-59
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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.
DOI : 10.4171/dm/23
Classification : 14H52, 19E15
Mots-clés : torsion zero cycles, semistable elliptic curve, multiplicative reduction primes, Selmer group of the symmetric square, hyodo-Kato cohomology 
@article{10_4171_dm_23,
     author = {Andreas Langer},
     title = {Selmer groups and torsion zero cycles on the selfproduct of a semistable elliptic curve},
     journal = {Documenta mathematica},
     pages = {47--59},
     year = {1997},
     volume = {2},
     doi = {10.4171/dm/23},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/23/}
}
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Andreas Langer. Selmer groups and torsion zero cycles on the selfproduct of a semistable elliptic curve. Documenta mathematica, Tome 2 (1997), pp. 47-59. doi: 10.4171/dm/23

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