On a new invariant determining the isomorphism classes of \(\Lambda\)-modules with \(\lambda = 3\)

DOI10.1007/s00229-020-01190-6zbMath1469.11426OpenAlexW3007753689MaRDI QIDQ2226554

Kazuaki Murakami

Publication date: 8 February 2021

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-020-01190-6

zbMATH Keywords

elliptic curveSelmer group

Mathematics Subject Classification ID

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

Uses Software

• ecdata

Cites Work

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• Isomorphism classes of modules over Iwasawa algebra with \(\lambda =4\)
• On the isomorphism classes of Iwasawa modules with \(\lambda = 3\) and \(\mu = 0\)
• Greenberg's conjecture and the Iwasawa polynomial
• The Iwasawa Main Conjectures for \(\mathrm{GL}_{2}\)
• Organizing the arithmetic of elliptic curves
• Iwasawa theory and Fitting ideals
• Refined Iwasawa theory and Kolyvagin systems of Gauss sum type
• Isomorphism classes and adjoints of certain Iwasawa modules

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