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

Abstract

In this paper, we construct Chern class maps and cycle class maps with values in p-adic étale Tate twists [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.

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

References in corpus (1)

• A p-adic regulator map and finiteness results for arithmetic schemes

Cited by in corpus (4)

• On syntomic regulators I: constructions
• Chern class and Riemann-Roch theorem for cohomology theory without homotopy invariance
• On a generalized Brauer group in mixed characteristic cases
• Étale cohomology of arithmetic schemes and zeta values of arithmetic surfaces