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Mathematics  2008 

Approche logarithmique des noyaux étales sauvages des corps de nombres

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Abstract:

We study the l-part of the the wild \'etale kernels WK2i(F) of an arbitary number field F for a given prime l in connection with the logarithmic l-class groups. From the logarithmic arithmetic we deduce rank formulas, periodicity and reflection theorems, triviality characterizations and various consequences.

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