Approche logarithmique des noyaux étales sauvages des corps de nombres

Details Approche logarithmique des noyaux étales sauvages des corps de nombres Approche logarithmique des noyaux étales sauvages des corps de nombres

2008-01-07

arxiv.org/abs/0801.0919v1

Journal of Number Theory 120 (2006) 72--91

Mathematics

Number Theory

Scientific paper

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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