On the growth of Mordell-Weil ranks in \(p\)-adic Lie extensions

DOI10.4310/AJM.2020.v24.n4.a2zbMath1465.11151arXiv1902.01068MaRDI QIDQ2657831

Pin-Chi Hung, Meng Fai Lim

Publication date: 15 March 2021

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.01068

zbMATH Keywords

Mordell-Weil ranks\(p\)-adic Lie extensions\( \mathfrak{M}_H (G)\)-conjecture

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Iwasawa theory (11R23)

Related Items (7)

Asymptotic growth of Mordell–Weil ranks of elliptic curves in noncommutative towers ⋮ On order of vanishing of characteristic elements ⋮ Fine Selmer groups and ideal class groups ⋮ Rational points on algebraic curves in infinite towers of number fields ⋮ Akashi series and Euler characteristics of signed Selmer groups of elliptic curves with semistable reduction at primes above \(p\) ⋮ Chromatic Selmer groups and arithmetic invariants of elliptic curves ⋮ Arithmetic statistics and noncommutative Iwasawa theory

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