We study equivariant Iwasawa theory for two-variable abelian extensions of an imaginary quadratic field. One of the main goals of this paper is to describe the Fitting ideals of Iwasawa modules using $p$-adic $L$-functions. We also provide an application to Selmer groups of elliptic curves with complex multiplication.
"Fitting Ideals in Two-variable Equivariant Iwasawa Theory and an Application to CM Elliptic Curves." Tokyo J. Math. Advance Publication 1 - 23, 2021. https://doi.org/10.3836/tjm/1502179347