Geodesic
On the maximal unramified quotients of $p$-adic étale cohomology groups and logarithmic Hodge--Witt sheaves
Documenta mathematica, Kazuya Kato's Fiftieth Birthday (2003), pp. 833-890.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Let $O_K$ be a complete discrete valuation ring of mixed characteristic $(0,p)$ with perfect residue field. From the semi-stable conjecture ($C_{st}$) and the theory of slopes, we obtain isomorphisms between the maximal unramified quotients of certain Tate twists of $p$-adic étale cohomology groups and the cohomology groups of logarithmic Hodge-Witt sheaves for a proper semi-stable scheme over $O_K$. The object of this paper is to show that these isomorphisms are compatible with the symbol maps to the $p$-adic vanishing cycles and the logarithmic Hodge-Witt sheaves, and that they are compatible with the integral structures under certain restrictions. We also treats an open case and a proof of $C_{st}$ in such a case is given for that purpose. The results are used in the work of U. Jannsen and S. Saito [Doc. Math., J. DMV Extra Vol., 479--538 (2003; Zbl 1092.14503)].
Classification : 14F30, 14F20 
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     author = {Tsuji, Takeshi},
     title = {On the maximal unramified quotients of $p$-adic \'etale cohomology groups and logarithmic {Hodge--Witt} sheaves},
     journal = {Documenta mathematica},
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Tsuji, Takeshi. On the maximal unramified quotients of $p$-adic étale cohomology groups and logarithmic Hodge--Witt sheaves. Documenta mathematica, Kazuya Kato's Fiftieth Birthday (2003), pp. 833-890. http://geodesic.mathdoc.fr/item/DOCMA_2003__S6__a1/