Selmer groups of certain abelian varieties with complex multiplication

DOI10.4064/aa200623-11-1zbMath1501.11099OpenAlexW4285150710WikidataQ114022083 ScholiaQ114022083MaRDI QIDQ5093859

YongXiong Li

Publication date: 1 August 2022

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa200623-11-1

zbMATH Keywords

elliptic curvesabelian varietiesIwasawa theory

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Iwasawa theory (11R23)

Cites Work

• Surjectivity of the global-to-local map defining a Selmer group
• Arithmetic on elliptic curves with complex multiplication. II
• Arithmetic on elliptic curves with complex multiplication. With an appendix by B. Mazur
• On the structure of certain Galois groups
• Iwasawa theory of quadratic twists of \(X_{0}(49)\)
• Analogues of Iwasawa's \(\mu = 0\) conjecture and the weak Leopoldt conjecture for a non-cyclotomic \(\mathbb{Z}_2\)-extension
• On the structure of certain Galois cohomology groups
• Non‐vanishing theorems for central L‐values of some elliptic curves with complex multiplication
• Arithmétique des courbes elliptiques et théorie d'Iwasawa
• On the conjecture of Birch and Swinnerton-Dyer
• Selmer Groups of Elliptic Curves with Complex Multiplication
• On the Structure of Selmer Groups
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