Boundedness of Iwasawa invariants of fine Selmer groups and Selmer groups

DOI10.1007/s00025-023-01920-8OpenAlexW4377164375MaRDI QIDQ6168132

Ahmed Matar, Sören Kleine

Publication date: 10 July 2023

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-023-01920-8

zbMATH Keywords

abelian varietiesSelmer groupsfine Selmer groupsweak Leopoldt conjecturegeneralised Iwasawa invariantsboundedness of Iwasawa invariants

Mathematics Subject Classification ID

Iwasawa theory (11R23)

Cites Work

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• On \(L\)-functions of elliptic curves and cyclotomic towers
• Some invariants of \(\mathbb{Z}_p^d\)
• Class numbers in \(\mathbb{Z}_p^d\)-extensions
• Notes on the fine Selmer groups
• Fine Selmer groups of elliptic curves over \(p\)-adic Lie extensions
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Kummer theory for abelian varieties over local fields
• Generalised Iwasawa invariants and the growth of class numbers
• Finding large Selmer groups
• Rational points of Abelian varieties with values in towers of number fields
• On the Iwasawa invariants of non-cotorsion Selmer groups
• Local behavior of Iwasawa’s invariants
• The Iwasawa Invariants of Γ-Extensions of a Fixed Number Field
• Prime decomposition in the anti-cyclotomic extension
• On finite $\Lambda $-submodules of Selmer groups of elliptic curves
• Bounding the Iwasawa invariants of Selmer groups
• On the Refined Conjectures on Fitting Ideals of Selmer Groups of Elliptic Curves with Supersingular Reduction
• Algebra
• Fine Selmer groups and ideal class groups