Real regulators on . . .
نویسنده
چکیده
where J is the subsheaf of the tensor product generated by sections of the form τ1 ⊗ · · · ⊗ τk such that τi + τj = 1 for some i and j. Put K M k,X := Image ( j : KM k,X → K k (C(X)) ) . Our goal is to give an simple and explicit description of a regulator map to a certain quotient of real Deligne cohomology, in terms of logarithms (for m ≥ 1): rlog : H k−m Zar (X,K M k,X) → H D (X,R(k))/(?), where we recall that H D (X,R(k)) ≃ H(X,R(k − 1)) πk−1(F kH2k−m−1(X,C)) .
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