4 problems

Let $V_p(f)$ be the two-dimensional representation attached to a Bianchi modular form, assume that $V_p(f)|_{G_{F_{\mathfrak p}}}$ is semistable, and let $\mathfrak p$, $K$,…

Fix an integer $c$ prime to $D\cdot N$, let $\mathcal{O}_c$ be the order of the real quadratic field $F$ of conductor $c$, and let $Q\in\mathcal{F}_{Dc^2}$ represent a class of qua…

Let $\mathfrak{b}$ be an invertible $\mathcal{O}$-ideal that is $\mathfrak{f}$-integral, let $\mathfrak{n}$ be an invertible $\mathcal{O}$-ideal satisfying … and let…

Let $[(r,\tau)]\in(\mathbb{Z}/f\mathbb{Z}\times H^{\mathcal{O}}(\mathfrak{N}))/\sim_f$ with $\tau$ reduced, set $\mathcal{O}=\mathcal{O}_{\tau}$, $\mathfrak{f}=f\mathcal{O}$,…