The non-\(p\)-part of the fine Selmer group in a \(\mathbb{Z}_p\)-extension

DOI10.4064/aa230424-15-1MaRDI QIDQ6547204

Adithya Chakravarthy

Publication date: 30 May 2024

Published in: Acta Arithmetica (Search for Journal in Brave)

zbMATH Keywords

elliptic curvesabelian varietiesIwasawa theorySelmer groupsnumber theoryfine Selmer groups

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Iwasawa theory (11R23)

Cites Work

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• Anticyclotomic Iwasawa's main conjecture for Hilbert modular forms
• Class numbers and \(\mathbb Z_p\)-extensions
• The non-p-part of the class number in a cyclotomic \(\mathbb{Z}_p\)-extension
• \(p\)-adic \(L\)-functions of an elliptic curve and rational points
• Fine Selmer groups of elliptic curves over \(p\)-adic Lie extensions
• Rational points of Abelian varieties with values in towers of number fields
• Analytic pro-p groups of small dimensions
• On Γ-extensions of algebraic number fields
• Euler Systems
• The growth of fine Selmer groups
• Growth of Fine Selmer Groups in Infinite Towers
• Prime decomposition and the Iwasawa MU-invariant
• Growth of $p$-parts of ideal class groups and fine Selmer groups in $\mathbb Z_q$-extensions with $p\ne q$

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