Asymptotic growth of Mordell–Weil ranks of elliptic curves in noncommutative towers

DOI10.4153/S0008439522000108MaRDI QIDQ5888930

Anwesh Ray

Publication date: 26 April 2023

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.07457

zbMATH Keywords

elliptic curvesIwasawa invariantsKida's formulatowers of number fieldsasymptotic growth of ranks

Mathematics Subject Classification ID

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

Related Items (1)

Fine Selmer groups and ideal class groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On \(L\)-functions of elliptic curves and cyclotomic towers
• Mazur's conjecture on higher Heegner points.
• Special values of anticyclotomic \(L\)-functions.
• An analogue of Kida's formula for fine Selmer groups of elliptic curves
• Some remarks on Kida's formula when \(\mu\neq 0\)
• Ranks of elliptic curves over \(\mathbb{Z}_p^2\)-extensions
• Estimating the growth in Mordell-Weil ranks and Shafarevich-Tate groups over Lie extensions
• Arithmetic properties of signed Selmer groups at non-ordinary primes
• Galois properties of points of finite order of elliptic curves
• Rational points of Abelian varieties with values in towers of number fields
• On the growth of Mordell-Weil ranks in \(p\)-adic Lie extensions
• On the M_H(G)-conjecture
• A remark on the 𝔐_H(G)-conjecture and Akashi series
• Statistics for Iwasawa invariants of elliptic curves
• Galois cohomology of elliptic curves

This page was built for publication: Asymptotic growth of Mordell–Weil ranks of elliptic curves in noncommutative towers