Galois cohomology of a number field is Koszul

DOI10.1016/j.jnt.2014.05.024zbMath1320.12006arXiv1008.0095OpenAlexW2015320811MaRDI QIDQ741675

L. E. Positsel'skiĭ

Publication date: 12 September 2014

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

Full work available at URL: https://arxiv.org/abs/1008.0095

zbMATH Keywords

Galois cohomologylocal fieldsChebotarev's density theoremKoszul algebrasglobal fieldsclass field theoryKoszul modulescommutative Gröbner basescommutative PBW-basesfiltrations on algebras

Mathematics Subject Classification ID

Galois cohomology (12G05) Galois cohomology (11R34)

Related Items

Artin–Tate motivic sheaves with finite coefficients over an algebraic variety ⋮ Koszulity of cohomology \( = K(\pi,1)\)-Ness + quasi-formality ⋮ Enhanced Koszul properties in Galois cohomology ⋮ Mild pro-\(p\) groups and the Koszulity conjectures ⋮ Galois module structure of the units modulo \(p^m\) of cyclic extensions of degree \(p^n\) ⋮ Right-angled Artin groups and enhanced Koszul properties ⋮ Koszul algebras and quadratic duals in Galois cohomology ⋮ Canonical resolutions over Koszul algebras ⋮ On pro-\(p\) groups with quadratic cohomology

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