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arXiv math/0012150math.NTmath.AG
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Invitation to higher local fields, Interlude: Existence theorem for higher local class field theory

Kazuya Kato

英文摘要:

Viewing higher local fields as ring objects in the category of iterated pro-ind-objects, a definition of open subgroups in Milnor K-groups of the fields is given. The self-duality of the additive group of a higher local field is proved. By studying norm groups of cohomological objects and using cohomological approach to higher local class field theory the existence theorem is proved.

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