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/

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[2] Iwasawa K., “On the $\mu$-invariants of $\mathbf{Z}_l$-extensions”, Number theory, algebraic geometry and commutative algebra in honour Akizuki, Tokyo, 1973, 1–11 | MR | Zbl

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[6] Babaitsev V. A., “O nekotorykh voprosakh teorii $\Gamma$-rasshirenii polei algebraicheskikh chisel, II”, Izv. AN SSSR. Ser. matem., 40:4 (1976), 715–726 | MR

[7] Babaitsev V. A., “Ob ogranichennosti invarianta $\mu$ Ivasavy”, Izv. AN SSSR. Ser. matem., 44:1 (1980), 3–23 | MR

[8] Ferrero V., Washington L. S., “The Iwasawa invariant $\mu_p$ vanishes for abelian fields”, Ann. Math., 109 (1979), 377–395 | DOI | MR | Zbl

[9] Burbaki N., Algebra: moduli, koltsa, formy, Nauka, M., 1966 | MR