Ranks of elliptic curves over \(\mathbb{Z}_p^2\)-extensions

DOI10.1007/s11856-020-1969-0zbMath1469.11424arXiv1809.10127OpenAlexW2999011315WikidataQ126337433 ScholiaQ126337433MaRDI QIDQ2182022

Yanyan Li

Publication date: 20 May 2020

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.10127

zbMATH Keywords

good reductionMordell-Weil rankelliptic curvegrowth number conjecture

Mathematics Subject Classification ID

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

Related Items (11)

Asymptotic growth of Mordell–Weil ranks of elliptic curves in noncommutative towers ⋮ Mordell–Weil ranks and Tate–Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensions ⋮ On the growth of $\mu $-invariant in Iwasawa theory of supersingular elliptic curves ⋮ On the BDP Iwasawa main conjecture for modular forms ⋮ Rational points on algebraic curves in infinite towers of number fields ⋮ Unnamed Item ⋮ On the control theorem for fine Selmer groups and the growth of fine Tate-Shafarevich groups in \(\mathbb{Z}_p\)-extensions ⋮ On the algebraic functional equation for the mixed signed Selmer group over multiple $\mathbb {Z}_{p}$-extensions ⋮ 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

Cites Work

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