Cycle classes for p-adic \'etale Tate twists and the image of p-adic regulators
Algebraic Geometry
2012-03-13 v4 K-Theory and Homology
Abstract
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.
Keywords
Cite
@article{arxiv.1004.1357,
title = {Cycle classes for p-adic \'etale Tate twists and the image of p-adic regulators},
author = {Kanetomo Sato},
journal= {arXiv preprint arXiv:1004.1357},
year = {2012}
}
Comments
61 pages. The title has been changed. In the new section 5 includes a detailed proof the Whitney sum formula for the Chern class of vector bundles over simplicial schemes, which is essential in the additivity of the Chern class map for higher K-groups