This article is cited in 1 paper

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

V. A. Babaitsev


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.

UDC: 519.4

MSC: Primary 12A35; Secondary 12A50

Received: 01.09.1980

 English version: Mathematics of the USSR-Izvestiya, 1982, 19:1, 1–12

Bibliographic databases:

• 
•