p-adic Geometry and Homotopy Theory - Département de ...
p-adic Geometry and Homotopy Theory - Département de ...
p-adic Geometry and Homotopy Theory - Département de ...
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ρ πu = ρ π exp(log(u)N), u ∈ A ∗ 62COROLLARY 5.2For X/S proper (<strong>and</strong> semistable), ρ π inducesan isomorphism :ρ π : K ⊗ W H m ((Y, M Y )/(W, W (L))∼ −→ H m dR (X K/K)(gives (K 0 , ϕ, N) structure on H m dR (X K/K))Remarks(a) 5.1 valid for X/S log smooth, Cartier type(b) ρ π <strong>de</strong>pends on π :
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