p-ADIC PERIODS AND DERIVED DE RHAM COHOMOLOGY
نویسنده
چکیده
For a smooth variety X over a base field of characteristic 0 we have its algebraic de Rham cohomology H · dR(X) := H (XZar,Ω · X); for nonsmooth X, one defines H · dR(X) using cohomological descent as in Deligne [D]. If the base field is C, then one has the Betti cohomology H · B(X) := H (Xcl,Q) and a canonical period isomorphism (“integration of algebraic differential forms over topological cycles”)
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