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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• Frobenius operatorϕ : H m ((X, M)/(W n , W n (L)) → H m ((X, M)/(W n , W n (L))<strong>de</strong>fined by (Frobenius on schemes, p on monoids)ϕ = σ-linear isogeny (Berthelot-Ogus, Hyodo-Kato)∃ σ −1 -linear ψ, ϕψ = ψϕ = p r(r = dim(X) = rk Ω 1 (X,M)/(s,L) ) 50