3 problems

Let $\psi$ be a finite order Dirichlet character, let $U$ be the weight domain of a Coleman family $\mathcal{F}$, let $\mathcal{W}$ be the cyclotomic weight space, and let…

Let $\operatorname{\boldsymbol f}_U$ be a Coleman family, let $r_{\mathrm{min}}(\operatorname{\boldsymbol f}_U)$ be its minimal admissible generic rank, and let…

Let $\mathbb{F}$ be a Coleman family over $\Lambda_{(k_0;r)}$ with slope $s\in\mathbb{Q}_{\geq 0}$, let $h\in\mathbb{Z}$ satisfy $h\geq s$, and let…