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March 2007 On the first layer of anti-cyclotomic $\mathbf {Z}_{p}$-extension of imaginary quadratic fields
Jangheon Oh
Proc. Japan Acad. Ser. A Math. Sci. 83(3): 19-20 (March 2007). DOI: 10.3792/pjaa.83.19

Abstract

In this paper, we give an explicit description of the first layer of anti-cyclotomic $\mathbf{Z}_{p}$-extension of imaginary quadratic fields.

Citation

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Jangheon Oh. "On the first layer of anti-cyclotomic $\mathbf {Z}_{p}$-extension of imaginary quadratic fields." Proc. Japan Acad. Ser. A Math. Sci. 83 (3) 19 - 20, March 2007. https://doi.org/10.3792/pjaa.83.19

Information

Published: March 2007
First available in Project Euclid: 9 April 2007

zbMATH: 1123.11032
MathSciNet: MR2317304
Digital Object Identifier: 10.3792/pjaa.83.19

Subjects:
Primary: 11R23

Keywords: anti-cyclotomic extension , Iwasawa theory , Kunner extension , Minkowski unit

Rights: Copyright © 2007 The Japan Academy

Vol.83 • No. 3 • March 2007
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