On the Mordell-Weil ranks of supersingular abelian varieties in cyclotomic extensions

DOI10.1090/bproc/43zbMath1461.11147arXiv1807.07604OpenAlexW3006209524MaRDI QIDQ5215530

Antonio Lei, Gautier Ponsinet

Publication date: 12 February 2020

Published in: Proceedings of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.07604

zbMATH Keywords

abelian varietiesIwasawa theoryMordell-Weil rankssupersingular primes

Mathematics Subject Classification ID

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

Related Items (6)

On the weak Leopoldt conjecture and coranks of Selmer groups of supersingular abelian varieties in \(p\)-adic Lie extensions ⋮ Mordell–Weil ranks and Tate–Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensions ⋮ Rational points on algebraic curves in infinite towers of number fields ⋮ On the control theorem for fine Selmer groups and the growth of fine Tate-Shafarevich groups in \(\mathbb{Z}_p\)-extensions ⋮ Chromatic Selmer groups and arithmetic invariants of elliptic curves ⋮ Bounding the Iwasawa invariants of Selmer groups

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