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Invitation to higher local fields, Interlude: Existence theorem for higher local class field theory | Kazuya Kato
; | Date: |
18 Dec 2000 | Journal: | Geom. Topol. Monogr. Volume 3(2000) 165-195 | Subject: | Number Theory; Algebraic Geometry MSC-class: 19F05, 19F99, 11-99 | math.NT math.AG | Abstract: | 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. | Source: | arXiv, math.NT/0012150 | Services: | Forum | Review | PDF | Favorites |
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