Regulators
نویسندگان
چکیده
منابع مشابه
SYNTOMIC REGULATORS AND p-ADIC INTEGRATION I: RIGID SYNTOMIC REGULATORS
The syntomic cohomology, more precisely the cohomology of the sheaves s(n) on the syntomic site of a scheme, where introduced in [FM87] in order to prove comparison isomorphisms between crystalline and p-adic étale cohomology. It can be seen as an analogue of the Deligne-Beilinson cohomology in the p-adic world (for an excellent discussion see [Nek98]). In particular, when X is a smooth scheme ...
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The classical regulator R of a number field K is given [F1] by a rapidly convergent series of the form R w = ∞
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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))/(?), w...
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ژورنال
عنوان ژورنال: Scientific American
سال: 1894
ISSN: 0036-8733
DOI: 10.1038/scientificamerican11171894-15739bsupp