An analogue of the field-of-norms functor and the Grothendieck Conjecture

Details An analogue of the field-of-norms functor and the Grothendieck Conjecture An analogue of the field-of-norms functor and the Grothendieck Conjecture

2005-03-10

arxiv.org/abs/math/0503200v1

Mathematics

Number Theory

41 pages

Scientific paper

The paper contains a construction of an analogue of the Fontaine-Wintenberger field-of-norms functor for higher dimensional local fields. This construction is done completely in terms of the ramification theory of such fields. It is applied to deduce the mixed characteristic case of a local analogue of the Grothendieck Conjecture for these fields from its characteristic p case, which was proved earlier by the author.

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