Cycle classes for p-adic etale 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 'etale Tate twists [S2]. 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.

💡 Research Summary

The paper develops a systematic framework for constructing Chern class maps and cycle class maps whose values lie in the p‑adic étale Tate twists introduced by Saito. Working over a regular, proper, and flat scheme X over a p‑adic local field K, the author first defines a p‑adic Chern class homomorphism
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