Abelian localp-class field theory

Topology on rational points over n-local fields

“…In [11], Fesenko considered the class field theory of n-dimensional complete fields over a perfect field of positive characteristic. In particular, [11, §2] contains a brief description on how to topologize such fields.…”

Ramification of higher local fields approaches and questions

“…This approach was explored in several papers starting from [Lo]. For example, Hyodo [Hy] defines ("upper") ramification breaks for a finite abelian extension L/K of m-dimensional local fields (with finite last residue field) as m-tuples [Fe95a,§4].…”

К работе И. Р. Шафаревича “Общий закон взаимности”

“…[20]), и, наконец, для полных многомерных по-лей с совершенным полем вычетов теорию полей классов построил И. Фесенко (см. [21]). Приведем результат И. Фесенко для полного n-мерного поля в случае максимального абелева p-расширения.…”