On ramification theory in the imperfect residue field case

DOI10.1070/SM2003v194n12ABEH000785zbMath1063.11046arXivmath/0201238OpenAlexW3099905368MaRDI QIDQ4658252

I. B. Zhukov

Publication date: 16 March 2005

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0201238

Mathematics Subject Classification ID

Ramification and extension theory (11S15) Class field theory; (p)-adic formal groups (11S31)

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An analogue of the field-of-norms functor and of the Grothendieck conjecture, Fiercely ramified cyclic extensions of \(p\)-adic fields with imperfect residue field, Integration on valuation fields over local fields, Explicit constructions and the arithmetic of local number fields, Approximation approach to ramification theory, Ramification of higher local fields, approaches and questions