Selmer groups and torsion zero cycles on the selfproduct of a semistable elliptic curve
Summary: 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 [see \textit{A. Langer} and \textit{S. Saito}, ``Torsion zero-cycles on the self-product of a modular elliptic curve'', Duke Math. J. 85, No. 2, 315-357 (1996)] 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.
selfproduct of a semistable elliptic curve
scientific article; zbMATH DE number 1016571