On local and global bounds for Iwasawa \(\lambda\)-invariants

DOI10.1016/j.jnt.2020.11.011zbMath1469.11422OpenAlexW3116322865MaRDI QIDQ2660317

Sören Kleine

Publication date: 29 March 2021

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2020.11.011

zbMATH Keywords

logarithmic class groupGross-Kuz'min conjectureGreenberg's generalised conjecturebounding \(\lambda\)-invariantsGreenberg's topologyvanishing of \(\mu\)-invariants

Mathematics Subject Classification ID

Class field theory (11R37) Iwasawa theory (11R23)

Cites Work

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• A consequence of Greenberg's generalized conjecture on Iwasawa invariants of \(\mathbb{Z}_p\)-extensions
• On a certain \(l\)-adic representation
• On the mu and lambda invariants of the logarithmic class group
• Some invariants of \(\mathbb{Z}_p^d\)
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• The Iwasawa invariant \(\mu\) in the composite of two \(\mathbb Z_ \ell\)-extensions
• \(T\)-ranks of Iwasawa modules
• Logarithmic classes of number fields
• Generalized invariant classes
• Local behaviour of generalised Iwasawa invariants
• Naive cyclotomic norms and logarithmic units
• Local behavior of Iwasawa’s invariants
• Relative extensions of number fields and Greenberg’s Generalised Conjecture
• The Iwasawa Invariants of Γ-Extensions of a Fixed Number Field
• ON THE BOUNDEDNESS OF THE IWASAWA INVARIANT μ
• On Small Iwasawa Invariants and Imaginary Quadratic Fields

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