Andreas Langer

摘要

In this paper we extend the finiteness result on the$p$-primary torsion subgroup in the Chow group of zero cycles on theselfproduct of a semistable elliptic curve obtained in joint work with S.Saito to primes $p$ dividing the conductor. On the way we show the finitenessof the Selmer group associated to the symmetric square of the elliptic curvefor those primes. The proof uses $p$-adic techniques, in particular theFontaine-Jannsen conjecture proven by Kato and Tsuji.par