Cycle Classes for p-Adic Étale Tate Twists and the Image of p-Adic Regulators

In this paper, we construct Chern class maps and cycle class maps with values in $p$-adic étale Tate twists \cite{S2}. We also relate the $p$-adic étale 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.

2010 Mathematics Subject Classification: Primary 19F27, 14F30; Secondary 14C25

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