An analogue of Kida's formula for fine Selmer groups of elliptic curves

DOI10.1016/j.jnt.2020.12.009zbMath1469.11423OpenAlexW3119932592MaRDI QIDQ1998899

Debanjana Kundu

Publication date: 9 March 2021

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2020.12.009

zbMATH Keywords

Iwasawa theoryfine Selmer groupsHerbrand quotient

Mathematics Subject Classification ID

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

Related Items (2)

Asymptotic growth of Mordell–Weil ranks of elliptic curves in noncommutative towers ⋮ Iwasawa invariants for elliptic curves over \(\mathbb{Z}_p\)-extensions and Kida's formula

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(\ell\)-extensions of CM-fields and cyclotomic invariants
• Riemann-Hurwitz formula and p-adic Galois representations for number fields
• An analogue of Kida's formula for the \(p\)-adic \(L\)-functions of modular elliptic curves
• Fine Selmer groups of elliptic curves over \(p\)-adic Lie extensions
• Kida's formula and congruences
• Rational points of Abelian varieties with values in towers of number fields
• The Arithmetic of Elliptic Curves
• A remark on the rational points of abelian varieties with values in cyclotomic $Z_p$-extensions
• On the ranks of Iwasawa modules over $p$ -adic Lie extensions
• Growth of Fine Selmer Groups in Infinite Towers
• Galois cohomology of elliptic curves

This page was built for publication: An analogue of Kida's formula for fine Selmer groups of elliptic curves