2022-01-25T06:23:21Zhttps://repository.dl.itc.u-tokyo.ac.jp/oaioai:repository.dl.itc.u-tokyo.ac.jp:000401272021-03-01T21:08:28Zp-Adic Weight Spectral Sequences of Log VarietiesNakkajima, Yukiyoshi138708415log crystalline cohomologieslog de Rham-Witt complexes$p$-adic weight spectral sequencesrigid cohomologiesapplication/pdfWe 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}.departmental bulletin paperGraduate School of Mathematical Sciences, The University of Tokyo2006-01-10application/pdfJournal of mathematical sciences, the University of Tokyo412513661AA1102165313405705https://repository.dl.itc.u-tokyo.ac.jp/record/40127/files/jms120402.pdfeng