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- W4287550306 abstract "Let $p$ be a prime. The goal of this article is to prove the Smoothness Theorem 5.1 (Theorem D), which notably asserts that a $(1,infty)$-cyclotomic pair is $(n,1)$-cyclotomic, for all $n geq 1$. In the particular case of Galois cohomology, the Smoothness Theorem provides a new proof of the Norm Residue Isomorphism Theorem. Using the formalism of smooth profinite groups, this proof presents it as a consequence of Kummer theory for fields." @default.
- W4287550306 created "2022-07-25" @default.
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- W4287550306 date "2020-12-20" @default.
- W4287550306 modified "2023-09-27" @default.
- W4287550306 title "Smooth profinite groups, III: the Smoothness Theorem" @default.
- W4287550306 doi "https://doi.org/10.48550/arxiv.2012.11027" @default.
- W4287550306 hasPublicationYear "2020" @default.
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