#### DOCUMENTA MATHEMATICA,
Vol. Extra Volume: John H. Coates' Sixtieth Birthday (2006), 615-630

** Robert Pollack and Tom Weston **
Kida's Formula and Congruences

We consider a generalization of a result of Kida in classical Iwasawa theory
which relates Iwasawa invariants of $p$-extensions of number fields. In
this paper, we consider Selmer groups of a general class of Galois representations
which includes the case of $p$-ordinary Hilbert modular forms and $p$-supersingular
modular forms.

2000 Mathematics Subject Classification: 11R23

Keywords and Phrases: Iwasawa theory, Kida's formula

Full text: dvi.gz 29 k,
dvi 72 k,
ps.gz 830 k,
pdf 186 k.

Home Page of
DOCUMENTA MATHEMATICA