Galois co-descent for étale wild kernels and capitulation

DOI10.5802/aif.1746zbMath0951.11029OpenAlexW2330445913MaRDI QIDQ1965851

Abbas Movahhedi, Manfred Kolster

Publication date: 1 March 2000

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2000__50_1_35_0

zbMATH Keywords

Iwasawa theorywild kernelGreenberg's conjectureétale cohomologyétale \(K\)-theorycodescentétale capitulation

Mathematics Subject Classification ID

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

Related Items (16)

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 ⋮ VALUES AT s = -1 OF L-FUNCTIONS FOR MULTI-QUADRATIC EXTENSIONS OF NUMBER FIELDS, AND THE FITTING IDEAL OF THE TAME KERNEL ⋮ Poitou–Tate duality for totally positive Galois cohomology ⋮ Tame kernels of cubic cyclic fields ⋮ On λ-invariants of number fields and étale cohomology ⋮ Tate kernels and capitulation ⋮ A genus formula for the positive étale wild kernel ⋮ Étale analogs of \(p\)-tower class field ⋮ Logarithmic approach of the étale wild kernels of number fields. ⋮ On universal norms and the first layers of \(\mathbb Z_p\)-extensions of a number field ⋮ The analogue of the Gauss class number problem in motivic cohomology ⋮ Bounds for étale capitulation kernels. II ⋮ Capitulation for even \(K\)-groups in the cyclotomic \(\mathbb Z_p\)-extension ⋮ On the splitting of the exact sequence, relating the wild and tame kernels

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