Mordell–Weil ranks and Tate–Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensions

DOI10.1142/S1793042122500208zbMath1497.11272arXiv1911.10643MaRDI QIDQ5061563

Meng Fai Lim, Antonio Lei

Publication date: 14 March 2022

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

Full work available at URL: https://arxiv.org/abs/1911.10643

zbMATH Keywords

elliptic curvesIwasawa theoryMordell-Weil groupsTate-Shafarevich groupsmixed-reduction type

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Iwasawa theory (11R23) Other abelian and metabelian extensions (11R20)

Related Items (5)

Euler characteristics and their congruences for multisigned Selmer groups ⋮ ON FINE SELMER GROUPS AND SIGNED SELMER GROUPS OF ELLIPTIC MODULAR FORMS ⋮ On the cohomology of Kobayashi’s plus/minus norm groups and applications ⋮ On the BDP Iwasawa main conjecture for modular forms ⋮ Akashi series and Euler characteristics of signed Selmer groups of elliptic curves with semistable reduction at primes above \(p\)

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