Geodesic
Kida's formula and congruences
Documenta mathematica, John H. Coates' Sixtieth Birthday (2006), pp. 615-630.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 11R23, 11R20, 11R21, 11S40, 11F80
Keywords: Iwasawa theory, abelian extensions, other number fields, $p$-adic $L$-functions, Galois representations 
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     author = {Pollack, Robert and Weston, Tom},
     title = {Kida's formula and congruences},
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Pollack, Robert; Weston, Tom. Kida's formula and congruences. Documenta mathematica, John H. Coates' Sixtieth Birthday (2006), pp. 615-630. http://geodesic.mathdoc.fr/item/DOCMA_2006__S5__a6/