Annihilation of Selmer groups for monomial CM-extensions

DOI10.1016/j.jnt.2014.05.008zbMath1351.11036OpenAlexW2041574128MaRDI QIDQ404358

Jiro Nomura

Publication date: 4 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.05.008

zbMATH Keywords

abelian varietiesSelmer groupsmonomial groupsequivariant \(L\)-values

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Cites Work

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• On non-abelian Stark-type conjectures
• Non-commutative Fitting invariants and annihilation of class groups
• On Mordell-Weil groups and congruences between derivatives of twisted Hasse-Weil \(L\)-functions
• On extensions of lattices
• Noncommutative Fitting invariants and improved annihilation results
• Organizing Matrices for Arithmetic Complexes
• On non-abelian Brumer and Brumer–Stark conjecture for monomial CM-extensions
• Tamagawa numbers for motives with (non-commutative) coefficients

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