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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2. COMPARISON WITHCRYSTALLINE COHOMOLOGYk perfect field, char(k) = p > 0, W n = W n (k), X/kRecall :• u = u X/Wn : (X/W n ) crys → X canonical morphism(u ∗ (E)(U) = Γ((U/W n ) crys , E))• If ∃ embedding, X ⊂ Z/W n smooth :Ru X/Wn ∗O X/Wn = O D ⊗ Ω·Z/W n,(D = pd-envelope of X ⊂ Z/W n )30