Codescent in étale \(K\)-theory and number fields

DOI10.1007/BF02568008zbMath0835.11043OpenAlexW352676250MaRDI QIDQ1895723

Jilali Assim

Publication date: 13 August 1995

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156068

zbMATH Keywords

Galois descentcodescentétale \(K\)-theory groups

Mathematics Subject Classification ID

(K)-theory of global fields (11R70) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (11)

Norm index formula for the Tate kernels and applications ⋮ A genus formula for the wild étale kernel ⋮ Fitting ideals of isotypic parts of even K-groups ⋮ Ankeny-Artin-Chowla and Mordell conjectures in terms of \(p\)-rationality ⋮ Galois co-descent for étale wild kernels and capitulation ⋮ Fibonacci numbers and real quadratic \(p\)-rational fields ⋮ Half-integral weight modular forms and real quadratic \(p\)-rational fields ⋮ On \(p\)-rationality of \(\mathbb{Q}(\zeta_{2l+1})^+\) for Sophie Germain primes \(l\) ⋮ Bounds for étale capitulation kernels ⋮ Multi-quadratic \(p\)-rational number fields ⋮ On Greenberg's generalized conjecture

Cites Work

• On regular number fields
• On \(\mathbb{Z}_ p\)-torsion of some Galois modules
• Remarks on \(K_ 2\) of number fields
• Über gewisse Galoiscohomologiegruppen
• K-théorie des anneaux d'entiers de corps de nombres et cohomologie etale
• Relations between \(K_2\) and Galois cohomology
• \(K_ 3\) and \(p\)- adic Riemann-Hurwitz formulas
• Galois Cohomology
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Sur les p -extensions des corps p -rationnels
• Algebraic and Etale K-Theory
• On the Iwasawa Invariants of Totally Real Number Fields
• On the maximal unramified p-extension of an algebraic number field.
• Analogues supérieurs du noyau sauvage
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