Surjectivity of p-adic regulators on K 2 of Tate curves

Surfaces over a p-adic field with infinite torsion in the Chow group of 0-cycles

“…An interesting question is whether the divisible subgroup is uniquely divisible, or equivalently whether SK 1 (C) tor is finite. In case the genus g(C) = 1, confirmative results have been obtained in [Sato 1985;Asakura 2006]. The purpose of this section is to show that the method in the previous sections gives rise to an example of a curve C of g(C) ≥ 2 such that SK 1 (C) tor is infinite.…”