Characteristic classes for p-adic etale Tate twists and the image of p-adic regulators, by Kanetomo Sato

In this paper, we construct Chern class maps and cycle class maps with values in p-adic etale Tate twists [Sa2]. We also relate the p-adic etale Tate twists with the finite part of Bloch-Kato. As an application, we prove that the integral part of p-adic regulator maps has values in the finite part of Galois cohomology under certain assumptions.


Kanetomo Sato <kanetomo@math.nagoya-u.ac.jp>