The invariants of the Tate-Shafarevich group in a \({\mathbb{Z}}_ p\)- extension can be infinite

DOI10.1215/S0012-7094-85-05209-3zbMath0581.14030OpenAlexW1555767650MaRDI QIDQ1068156

Gudrun Brattström

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-85-05209-3

zbMATH Keywords

Iwasawa power seriesp-adic height pairingfiniteness of the Tate-Shafarevich groupGalois invariantstwo-variable p-adic L- function

Mathematics Subject Classification ID

Galois theory (11R32) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Arithmetic ground fields for abelian varieties (14K15)

Related Items

Iwasawa theory and \(p\)-adic heights

Cites Work

• Infinite descent and \(p\)-adic heights over elliptic curves with complex multiplication
• \(p\)-adic height pairings. II
• On two variable p-adic L-functions
• \(p\)-adic interpolation of real analytic Eisenstein series
• p-adic height pairings. I
• Iwasawa L-functions of varieties over algebraic number fields. A first approach
• Rational points of Abelian varieties with values in towers of number fields
• On the Birch and Swinnerton-Dyer conjecture
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