Refined conjectures on Fitting ideals of Selmer groups over ${\mathbf{Z}}_p^2$-extensions

Cédric Dion

Let $p>3$ be a prime number and $K$ be an imaginary quadratic field where $p$ splits. Let $K_{\infty }$ be the ${\mathbf{Z}}_p^2$-extension of $K$ and let $K_n$ be a finite subextension…