Galois theory of \(B^+_{\text{dR}}\) in the imperfect residue field case

DOI10.1016/j.jnt.2010.03.005zbMath1208.11129arXiv0905.2147OpenAlexW1965603505MaRDI QIDQ984850

Shun Ohkubo

Publication date: 20 July 2010

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

Full work available at URL: https://arxiv.org/abs/0905.2147

zbMATH Keywords

Kähler differentialsGalois theory\(p\)-adic periods\(p\)-adic Galois representationsde Rham cohomology groupsdeep ramification

Mathematics Subject Classification ID

Galois theory (11S20) Galois cohomology (11S25)

Related Items

Multivariable $(\varphi ,\Gamma )$-modules and representations of products of Galois groups: The case of the imperfect residue field

Cites Work

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• Completely continuous endomorphisms of \(p\)-adic Banach spaces
• Cristalline representations in the case of an imperfect residue field
• Continuous cohomology and \(p\)-adic Galois representations
• Ramification of local fields with imperfect residue fields. II
• Kummer theory for abelian varieties over local fields
• On automorphisms of local fields
• Zeros of polynomials over local fields. The Galois action
• p-Adic Hodge Theory