The explicit reciprocity law and the cohomology of Fontaine-Messing

Kazuya Kato

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On the $p$ adic nearby cycles of log smooth families

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Almost étale extensions of Fontaine rings and log-crystalline cohomology in the semi-stable reduction case

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Let $K$ be a field of characteristic zero complete for a discrete valuation, with perfect residue field of characteristic $p > 0$ , and let $K^{+}$ be the valuation ring of $K$ . We relate the log-crystalline cohomology of the special fibre of certain affine $K^{+}$ -schemes $X = Spec (R)$ with good or semi-stable reduction to the Galois cohomology of the fundamental group $π_{1} (X_{\bar{K}})$ of the geometric generic fibre with coefficients in a Fontaine ring constructed from $R$ . This is based on Faltings’ theory of almost étale extensions. ...

p-adic étale Tate twists and arithmetic duality

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Displaying similar documents to “The explicit reciprocity law and the cohomology of Fontaine-Messing”

p -adic etale cohomology

On the p adic nearby cycles of log smooth families

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On the $p$ adic nearby cycles of log smooth families

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