Local and global universal norms in the cyclotomic $ {\mathbb Z}_\ell$-extension of an algebraic number field

DOI10.1070/IM8653zbMath1439.11277OpenAlexW2849920327MaRDI QIDQ4576051

L. V. Kuz'min

Publication date: 12 July 2018

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im8653

zbMATH Keywords

Iwasawa theorySchanuel's conjecture\(S\)-unitsglobal universal normscyclotomic \(\mathbb Z_\ell\)-extensionlocal universal norms

Mathematics Subject Classification ID

Units and factorization (11R27) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items (2)

Unnamed Item ⋮ On two conjectures of Gross for large vanishing orders

Cites Work

• On a new type of $ \ell$-adic regulator for algebraic number fields (the $ \ell$-adic regulator without logarithms)
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