Geodesic
On~the linear nature of the behavior of Iwasawa's~$\mu$ invariant
Izvestiya. Mathematics , Tome 19 (1982) no. 1, pp. 1-12

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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. 
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V. A. Babaitsev. On~the linear nature of the behavior of Iwasawa's~$\mu$ invariant. Izvestiya. Mathematics , Tome 19 (1982) no. 1, pp. 1-12. http://geodesic.mathdoc.fr/item/IM2_1982_19_1_a0/