An analogue of the field-of-norms functor and of the Grothendieck conjecture

DOI10.1090/S1056-3911-07-00470-5zbMath1135.11064arXivmath/0503200WikidataQ123197337 ScholiaQ123197337MaRDI QIDQ5308204

Victor A. Abrashkin

Publication date: 27 September 2007

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503200

zbMATH Keywords

ramification theoryGrothendieck conjecturehigher dimensional local fieldsfield-of-norms functorunequal characteristic local fields

Mathematics Subject Classification ID

Galois theory (11S20) Ramification and extension theory (11S15)

Related Items

An Introduction to p-Adic Hodge Theory ⋮ Geometric and analytic structures on the higher adèles ⋮ Anabelian group-theoretic properties of the absolute Galois groups of discrete valuation fields ⋮ A study on anabelian geometry of higher local fields ⋮ Admissible \(\varphi \)-modules and \(p\)-adic unitary representations ⋮ The field-of-norms functor and the Hilbert symbol for higher local fields ⋮ An explicit formula for the norm in the theory of fields of norms ⋮ Explicit constructions and the arithmetic of local number fields ⋮ Conjecture a and \(\mu\)-invariant for Selmer groups of supersingular elliptic curves ⋮ Ramification of higher local fields, approaches and questions ⋮ Generalized ring of norms and generalized (φ,Γ)(φ,Γ)-modules

Cites Work

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