On the first layer of anti-cyclotomic \(\mathbb Z_{p}\)-extension of imaginary quadratic fields

DOI10.3792/PJAA.83.19zbMath1123.11032OpenAlexW1963621171MaRDI QIDQ2381151

Jangheon Oh

Publication date: 25 September 2007

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

Full work available at URL: https://projecteuclid.org/euclid.pja/1176126884

zbMATH Keywords

Iwasawa theoryanticyclotomic extension

Mathematics Subject Classification ID

Iwasawa theory (11R23)

Related Items (4)

Construction of 3-Hilbert class field of certain imaginary quadratic fields ⋮ ON THE ANTICYCLOTOMIC ℤ_p-EXTENSION OF AN IMAGINARY QUADRATIC FIELD ⋮ CONSTRUCTION OF THE FIRST LAYER OF ANTI-CYCLOTOMIC EXTENSION ⋮ Construction of the Hilbert class field of some imaginary quadratic fields

Cites Work

• Unnamed Item
• Defining polynomial of the first layer of anti-cyclotomic \(\mathbb{Z}_3\)-extension of imaginary quadratic fields of class number 1
• Advanced Topics in Computional Number Theory
• The first layer of \({\mathbb{Z}}^2_2\)-extension over imaginary quadratic fields

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