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Jun 17, 2018 at 4:24 comment added KConrad @Marty that short paper of Parshin has no proofs in it. The paper is a summary of results.
Jun 16, 2018 at 21:27 comment added Marty Thanks -- I knew about Parshin's later work on higher adeles, but not about this 1975 work. Does he give full proofs for higher local class field theory? I don't read Russian, but I can't see complete proofs in the 1975 paper you linked.
Jun 16, 2018 at 19:55 comment added Alexander Chervov A.N. Parshin developped ideas on higher dimensional class field theory starting at 1975, prior to Kato. See e.g. A. N. Parshin, Class fields and algebraic K-theory, Uspekhi Mat. Nauk, 1975, Volume 30, Issue 1(181), 253–254 mathnet.ru/links/2832bbd4fa4a8796f3ec44aa0b3657ee/rm4196.pdf and general overview of Parshin's works: researchgate.net/publication/…
Jun 16, 2018 at 17:28 vote accept CommunityBot
Jun 16, 2018 at 17:14 history answered Marty CC BY-SA 4.0