2 problems

Let ${\mathcal W}$ be the weight space, viewed as a union of open unit discs, and let ${\mathcal E}$ be the Coleman–Mazur eigencurve over ${\mathcal W}$. Coleman's spectral halo co…

Let $I$ index the relevant embeddings, let $\rX_D^{>r}$ be the boundary region of the eigenvariety, let $\rW^{>r}$ be the corresponding weight-space region, let $w$ be the weight m…