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

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

2010-04-08

arxiv.org/abs/1004.1357v4

Mathematics

Algebraic Geometry

61 pages. The title has been changed. In the new section 5 includes a detailed proof the Whitney sum formula for the Chern cla

Scientific paper

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.

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