ON μ-INVARIANTS OF SELMER GROUPS OF SOME CM ELLIPTIC CURVES

DOI10.1142/S1793042113500206zbMath1282.11144OpenAlexW2136146156MaRDI QIDQ2840297

Chandrakant Aribam

Publication date: 17 July 2013

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

Full work available at URL: https://doi.org/10.1142/s1793042113500206

zbMATH Keywords

Selmer groupsnon-commutative Iwasawa theory\(\mu\)-invariantCM elliptic curves

Mathematics Subject Classification ID

Iwasawa theory (11R23) Cyclotomic extensions (11R18) Galois cohomology (11R34)

Uses Software

• Magma
• SageMath

Cites Work

• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• Galois representations, Kähler differentials and ``main conjectures
• The ``main conjectures of Iwasawa theory for imaginary quadratic fields
• Iwasawa \(\mu\)-invariants of elliptic curves and their symmetric powers.
• On the \(\mu\)-invariant of \(p\)-adic \(L\)-functions attached to elliptic curves with complex multiplication
• Transformation de Mellin-Leopoldt des fonctions elliptiques. (Mellin- Leopoldt transform of elliptic functions)
• The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication
• S -adic L -Functions Attached to the Symmetric Square of a Newform

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