Akashi series of Selmer groups

DOI10.1017/S0305004111000211zbMath1241.11064arXiv1005.0394OpenAlexW2169640506WikidataQ57947682 ScholiaQ57947682MaRDI QIDQ3089117

Sarah Livia Zerbes

Publication date: 23 August 2011

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.0394

zbMATH Keywords

elliptic curveSelmer groupAkashi series

Mathematics Subject Classification ID

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

Related Items

On order of vanishing of characteristic elements ⋮ Euler characteristic and Akashi series for Selmer groups over global function fields ⋮ A remark on the 𝔐_H(G)-conjecture and Akashi series ⋮ Non-commutative Iwasawa theory for elliptic curves with multiplicative reduction ⋮ Akashi series and Euler characteristics of signed Selmer groups of elliptic curves with semistable reduction at primes above \(p\) ⋮ Arithmetic statistics and noncommutative Iwasawa theory

Uses Software

• ecdata

Cites Work

• Note on Nakayama's lemma for compact \(\Lambda\)-modules
• Kummer theory for abelian varieties over local fields
• The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication
• Galois properties of points of finite order of elliptic curves
• Pairings and functional equations over the GL₂ -extension^†
• Characteristic elements, pairings and functional equations over the false Tate curve extension
• Generalised Euler characteristics of Selmer groups
• A remark on the rational points of abelian varieties with values in cyclotomic $Z_p$-extensions
• SELMER GROUPS OVER $p$-ADIC LIE EXTENSIONS I
• Euler characteristics and elliptic curves. II.