AN ANALOG OF THE RIEMANN-HURWITZ FORMULA FOR ONE TYPE OF $ l$-EXTENSION OF ALGEBRAIC NUMBER FIELDS

Abstract

For an -extension of an algebraic number field satisfying certain appropriate conditions the author obtains a formula analogous to the Riemann-Hurwitz formula. This formula connects the Iwasawa invariants of the fields and , where is some -extension of the field . It is not assumed that and are fields of CM-type.