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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absolute Frobenius F : X → X givesσ-linear Φ : RΓ(X/W ) → RΓ(X/W )Φ : H m (X/W ) → H m (X/W ) isomorphism mod torsion(i. e. = F -crystal)better : v : W Ω·X → W Ω·X , v|W Ωi X = pd−i−1 V givesΦv = vΦ = p don W Ω·X<strong>and</strong> RΓ(X/W ),(X of pure dim. d)(cf. Berthelot, Berthelot-Ogus)35