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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Proof : (a), (b) : straightforward(c) relies on<strong>de</strong>scription of W . Ω·A for A = F p[T 1 , · · · , T r ]in terms of the complex E· of integral forms :W n Ω·A = E·/(V n E· + dV n E·), V = pF −1 , F T i = T p iE· ⊂ Ω·C/Q p, C = Q p [T p−∞1 , · · · , T p−∞r ],ω ∈ E i ⇔ ω <strong>and</strong> dω integral(i. e. coefficients in Z p )18