Tate kernels and capitulation

DOI10.1016/j.jnt.2007.03.006zbMath1194.11101OpenAlexW2025045724MaRDI QIDQ2474303

David Vauclair

Publication date: 5 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2007.03.006

zbMATH Keywords

capitulationcup product\(K\)-theory of number fieldsTate kernels

Mathematics Subject Classification ID

Iwasawa theory (11R23) (K)-theory of global fields (11R70) Galois cohomology (11R34)

Related Items (5)

Norm index formula for the Tate kernels and applications ⋮ A genus formula for the wild étale kernel ⋮ On the cyclotomic norms and the Leopoldt and Gross-Kuz'min conjectures ⋮ On universal norms and the first layers of \(\mathbb Z_p\)-extensions of a number field ⋮ On duality and Iwasawa descent

Cites Work

• Unnamed Item
• \(K_2\) and the Greenberg conjecture in multiple \(\mathbb Z_p\)-extensions
• Cup product, étale capitulation kernels and generalized Greenberg conjecture
• Über gewisse Galoiscohomologiegruppen
• K-théorie des anneaux d'entiers de corps de nombres et cohomologie etale
• Regulators and Iwasawa modules
• Relations between \(K_2\) and Galois cohomology
• Bounds for étale capitulation kernels
• Galois co-descent for étale wild kernels and capitulation
• Galois descent and \(K_ 2\) of number fields
• On Cohomology Groups of Units for Z p -Extensions
• A Note on K 2 and the Theory of ℤ p -Extensions

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