Iwasawa theoretical residue formulas for algebraic tori

DOI10.3792/pjaa.65.21zbMath0699.12019OpenAlexW2023900370MaRDI QIDQ912917

Masanori Morishita

Publication date: 1989

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.65.21

zbMATH Keywords

L-functionalgebraic toriLeopoldt conjectureresidueIwasawatotally real algebraic number fieldformulasrational charactersp-adic regulator

Mathematics Subject Classification ID

(L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23) Galois cohomology of linear algebraic groups (11E72)

Cites Work

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• A generalization of Dirichlet's unit theorem
• On the structure of certain Galois groups
• Iwasawa L-functions of varieties over algebraic number fields. A first approach
• Cohomologie Galoisienne. Cours au College de France, 1962-1963. 4e ed
• Arithmetic of algebraic tori
• On the Tamagawa number of algebraic tori

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