Cycle classes for -adic étale Tate twists and the image of -adic regulators

  • K. Sato

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Cycle classes for $p$-adic étale Tate twists and the image of $p$-adic regulators cover
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Abstract

In this paper, we construct Chern class maps and cycle class maps with values in -adic étale Tate twists citeS2. We also relate the -adic étale Tate twists with the finite part of Bloch-Kato. As an application, we prove that the integral part of -adic regulator maps has values in the finite part of Galois cohomology under certain assumptions.

Cite this article

K. Sato, Cycle classes for -adic étale Tate twists and the image of -adic regulators. Doc. Math. 18 (2013), pp. 177–247

DOI 10.4171/DM/395