A Version of the Grothendieck Conjecture for p-Adic Local Fields
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Publication:4352158
DOI10.1142/S0129167X97000251zbMath0894.11046OpenAlexW2044257984WikidataQ123358664 ScholiaQ123358664MaRDI QIDQ4352158
Publication date: 8 September 1998
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129167x97000251
absolute Galois group\(p\)-adic fieldramification filtrationGrothendieck conjecturecanonical isomorphism
Separable extensions, Galois theory (12F10) Galois theory (11S20) Galois cohomology (12G05) Ramification and extension theory (11S15)
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Groups of automorphisms of local fields of period p and nilpotent class < p, I ⋮ An Introduction to p-Adic Hodge Theory ⋮ Hecke algebras for \(\mathrm{GL}_n\) over local fields ⋮ An analogue of the field-of-norms functor and of the Grothendieck conjecture ⋮ On the combinatorial cuspidalization of hyperbolic curves ⋮ Modified proof of a local analogue of the Grothendieck conjecture ⋮ Groups of automorphisms of local fields of period \(p^M\) and nilpotent class \(<p\) ⋮ A study on anabelian geometry of higher local fields ⋮ Two-step nilpotent extensions are not anabelian ⋮ ON A LOCAL ANALOGUE OF THE GROTHENDIECK CONJECTURE ⋮ Towards explicit description of ramification filtration in the 2-dimensional case ⋮ The geometry of anabelioids ⋮ Abstract commensurators of profinite groups ⋮ Jump sets in local fields ⋮ Ramification of higher local fields, approaches and questions
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