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Mathematics of the USSR-Izvestiya, 1982, Volume 19, Issue 1, Pages 1–12
DOI: https://doi.org/10.1070/IM1982v019n01ABEH001402 (Mi im1580) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the linear nature of the behavior of Iwasawa's $\mu$ invariant

V. A. Babaitsev
English version PDF (585 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM1982v019n01ABEH001402
Abstract: In this paper the behavior of Iwasawa's $\mu$ invariant is studied on the projective space of $\mathbf Z_l$-extensions of an algebraic number field. The author proves a theorem to the effect that the set of $\mathbf Z_l$-extensions for which the values of $\mu$ are not less than an arbitrary constant forms a linear projective variety.
Bibliography: 9 titles.
Received: 01.09.1980
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1981, Volume 45, Issue 4, Pages 691–703
Bibliographic databases:
UDC: 519.4
MSC: Primary 12A35; Secondary 12A50
Language: English
Original paper language: Russian
Citation: V. A. Babaitsev, “On the linear nature of the behavior of Iwasawa's $\mu$ invariant”, Izv. Akad. Nauk SSSR Ser. Mat., 45:4 (1981), 691–703; Math. USSR-Izv., 19:1 (1982), 1–12
Citation in format AMSBIB
\Bibitem{Bab81}
\by V.~A.~Babaitsev
\paper On~the linear nature of the behavior of Iwasawa's~$\mu$ invariant
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1981
\vol 45
\issue 4
\pages 691--703
\mathnet{http://mi.mathnet.ru/im1580}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=631433}
\zmath{https://zbmath.org/?q=an:0495.12012|0523.12004}
\transl
\jour Math. USSR-Izv.
\yr 1982
\vol 19
\issue 1
\pages 1--12
\crossref{https://doi.org/10.1070/IM1982v019n01ABEH001402}
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  • https://www.mathnet.ru/eng/im/v45/i4/p691
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:196
    Russian version PDF:70
    English version PDF:8
    References:35
    First page:1
     
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