On the \(\lambda\)-invariant of Selmer groups arising from certain quadratic twists of Gross curves

DOI10.3836/TJM/1502179379arXiv2107.03027OpenAlexW4312710746MaRDI QIDQ6150161

Jianing Li

Publication date: 6 February 2024

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

Full work available at URL: https://arxiv.org/abs/2107.03027

zbMATH Keywords

elliptic curvesIwasawa theorySelmer groups

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Arithmetic on elliptic curves with complex multiplication. With an appendix by B. Mazur
• The non-vanishing of certain Hecke \(L\)-functions at the center of the critical strip
• A Riemann-Hurwitz formula for the Selmer group of an elliptic curve
• On the structure of certain Galois groups
• Iwasawa theory of quadratic twists of \(X_{0}(49)\)
• A Riemann-Hurwitz formula for the Selmer group of an elliptic curve with complex multiplication
• Classical Iwasawa theory and infinite descent on a family of abelian varieties
• The Chevalley-Gras formula over global fields
• On the 2-adic logarithm of units of certain totally imaginary quartic fields
• Non‐vanishing theorems for central L‐values of some elliptic curves with complex multiplication
• The Cyclotomic Z 2 -Extension of Imaginary Quadratic Fields

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