Geodesic
Cycle classes for $p$-adic étale Tate twists and the image of $p$-adic regulators
Documenta mathematica, Tome 18 (2013), pp. 177-247
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In this paper, we construct Chern class maps and cycle class maps with values in p-adic étale Tate twists citeS2. 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.
DOI : 10.4171/dm/395
Classification : 14C25, 14F30, 19F27 
@article{10_4171_dm_395,
     author = {K. Sato},
     title = {Cycle classes for $p$-adic \'etale {Tate} twists and the image of $p$-adic regulators},
     journal = {Documenta mathematica},
     pages = {177--247},
     year = {2013},
     volume = {18},
     doi = {10.4171/dm/395},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/395/}
}
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K. Sato. Cycle classes for $p$-adic étale Tate twists and the image of $p$-adic regulators. Documenta mathematica, Tome 18 (2013), pp. 177-247. doi: 10.4171/dm/395

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