Sur une forme faible de la conjecture de Greenberg II

DOI10.1142/S1793042117500567zbMath1377.11112OpenAlexW2528190686WikidataQ122928312 ScholiaQ122928312MaRDI QIDQ2978915

Thong Nguyen Quang Do

Publication date: 2 May 2017

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

Full work available at URL: https://doi.org/10.1142/s1793042117500567

zbMATH Keywords

Iwasawa theoryGreenberg's conjectureIwasawa modulescircular unitscyclotomic \(\mathbb{Z}_p\)-extension

Mathematics Subject Classification ID

Iwasawa theory (11R23)

Related Items (6)

Genus formulas and Greenberg's conjecture ⋮ \(p\)-adic approach of Greenberg's conjecture for totally real fields ⋮ Multi-quadratic \(p\)-rational number fields ⋮ Tamely ramified Iwasawa modules having no non-trivial pseudo-null submodules ⋮ On Greenberg's generalized conjecture ⋮ A weak form of Greenberg's generalized conjecture for imaginary quadratic fields

Cites Work

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• Iwasawa descent and co-descent for units modulo circular units. With an appendix by J.-R. Belliard.
• On duality and Iwasawa descent
• On the rational points of abelian varieties over \({\mathbb{Z}}_ p\)- extensions of number fields
• On mirror equalities and certain weak forms of Greenberg's conjecture
• A note on the capitulation in \(\mathbb{Z}_ p\)-extensions
• On Modified Circular Units and Annihilation of real Classes
• Sous-modules d'unit\'es en th\'eorie d'Iwasawa
• SUR LA CONJECTURE FAIBLE DE GREENBERG DANS LE CAS ABÉLIEN p-DÉCOMPOSÉ
• THE TATE MODULE FOR ALGEBRAIC NUMBER FIELDS

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