5 problems

Let $f$ be the modular form, $F$ the field, $p$ and $k$ the prime and weight from Theorem 5.11, and let $u_2(f_F)$, $\Omega_f^+$, $\Omega_f^-$, and $R_{f,\alpha}$ be respectively t…

Let $\mathcal{C}$ be the family locus under consideration, let $\kappa_{{\mathbf{g}},{\mathbf h}}\vert_{\mathcal{C}}$ be the restriction of the Beilinson–Flach cohomology class, an…

Let $T$ be the rank-four representation, let $\mathcal{N}(\mathcal{P})$ be the specified set of auxiliary integers, and let $\mathcal{L}_{m,V}$ be the equivariant Perrin–Riou regul…

Let $K$ be as in the source, let $\Lambda_K$ be the corresponding two-variable Iwasawa algebra, and let $\mathcal X^{\hat\bullet\forall}$ and $\mathcal X^{\bullet0}$ be the dual Se…

Let $\mathcal{K}$ be the imaginary quadratic field in the source, let $\Lambda_\mathcal{K}$ be its two-variable Iwasawa algebra, let…