Anabelian group-theoretic properties of the absolute Galois groups of discrete valuation fields

DOI10.1016/j.jnt.2021.12.006zbMath1493.12009OpenAlexW4206973437WikidataQ114156618 ScholiaQ114156618MaRDI QIDQ2672004

Shota Tsujimura, Arata Minamide

Publication date: 8 June 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2021.12.006

zbMATH Keywords

elasticslimhigher local fieldanabelian geometrydiscrete valuation fieldGrothendieck conjecturesemi-absolute

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Coverings of curves, fundamental group (14H30) Non-Archimedean valued fields (12J25)

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On the semi-absoluteness of isomorphisms between the pro-\(p\) arithmetic fundamental groups of smooth varieties ⋮ A study on anabelian geometry of higher local fields ⋮ Birational anabelian Grothendieck conjecture for curves over arbitrary cyclotomic extension fields of number fields ⋮ Internal indecomposability of profinite groups

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