Fitting ideals in two-variable equivariant Iwasawa theory and an application to CM elliptic curves

DOI10.3836/tjm/1502179347OpenAlexW3197291214MaRDI QIDQ2165829

Takenori Kataoka

Publication date: 23 August 2022

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.02967

zbMATH Keywords

main conjectureIwasawa modulesfitting ideals

Mathematics Subject Classification ID

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

Related Items (2)

Stark systems and equivariant main conjectures ⋮ Unnamed Item

Cites Work

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• The ``main conjectures of Iwasawa theory for imaginary quadratic fields
• Toward equivariant Iwasawa theory
• The second syzygy of the trivial \(G\)-module, and an equivariant main conjecture
• Fitting ideals of \(p\)-ramified Iwasawa modules over totally real fields
• Fitting ideals of Iwasawa modules and of the dual of class groups
• The Iwasawa conjecture for totally real fields
• Tate sequences and Fitting ideals of Iwasawa modules
• On the equivariant main conjecture for imaginary quadratic fields
• The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".

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