## $p$-adic weight spectral sequences of log varieties

J. Math. Sci. Univ. Tokyo
Vol. 12 (2005), No. 4, Page 513--661.

Nakkajima, Yukiyoshi
$p$-adic weight spectral sequences of log varieties
We prove the $E_2$-degeneration of the $p$-adic weight spectral sequence of a proper simple normal crossing log variety over a log point whose underlying scheme is the spectrum of a perfect field of characteristic $p>0$. We also show some properties of the $p$-adic weight spectral sequence and those of $p$-adic monodromy operators. The former ones complete the construction of the $p$-adic Steenbrink complex in \cite{msemi}; the latter ones complete the proof of the interpretation of the $p$-adic monodromy operator in \cite{hk} by a corrected operator of the $p$-adic Steenbrink complex in \cite{msemi}. We also complete some fundamental facts in \cite{hk}.
Keywords: log crystalline cohomologies, log de Rham-Witt complexes, $p$-adic weight spectral sequences, rigid cohomologies