Iwasawa theory of elliptic curves and Galois module structure

DOI10.1215/S0012-7094-93-07118-9zbMath0802.11051MaRDI QIDQ1312788

Adebisi Agboola

Publication date: 15 December 1994

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Tate-Shafarevich groupring of integers\(p\)-adic height pairingelliptic curve with complex multiplication\(p\)-primary component

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Iwasawa theory (11R23) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items

Abelian varieties and Galois module structure in global function fields ⋮ A geometric description of the class invariant homomorphism

Cites Work

• Infinite descent and \(p\)-adic heights over elliptic curves with complex multiplication
• Elliptic curves with complex multiplication and Galois module structure
• Elliptic functions and rings or integers
• Mordell-Weil groups and the Galois module structure of rings of integers
• \(p\)-adic \(L\)-functions and rational points on elliptic curves with complex multiplication
• The Galois module structure of certain arithmetic principal homogeneous spaces
• On the conjecture of Birch and Swinnerton-Dyer
• Abelian varieties and Galois module structure in global function fields
• On Taylor's conjecture for Kummer orders
• Arithmétique des courbes elliptiques et théorie d'Iwasawa
• An Orthogonality Relation on the Points of an Elliptic Curve
• Class invariants of Mordell-Weil groups.
• On the units of algebraic number fields
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