The second syzygy of the trivial \(G\)-module, and an equivariant main conjecture

DOI10.2969/ASPM/08610317zbMath1477.11185OpenAlexW3123909233MaRDI QIDQ2042505

Cornelius Greither, Masato Kurihara, Hibiki Tokio

Publication date: 20 July 2021

Full work available at URL: https://doi.org/10.2969/aspm/08610317

zbMATH Keywords

Fitting idealsyzygyIwasawa moduleIwasawa main conjecture

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Syzygies, resolutions, complexes and commutative rings (13D02) Iwasawa theory (11R23)

Related Items (6)

Fitting ideals in two-variable equivariant Iwasawa theory and an application to CM elliptic curves ⋮ Fitting ideals of class groups for CM abelian extensions ⋮ Fitting ideals in number theory and arithmetic ⋮ Fitting invariants in equivariant Iwasawa theory ⋮ Fitting ideals of \(p\)-ramified Iwasawa modules over totally real fields ⋮ Notes on the dual of the ideal class groups of CM-fields

Cites Work

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• On zeta elements for \(\mathbb G_m\)
• Fitting ideals of Iwasawa modules and of the dual of class groups
• Tate sequences and Fitting ideals of Iwasawa modules
• An Equivariant Main Conjecture in Iwasawa theory and applications

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