3 problems

Stable supersingular-component conjecture. There is a semistable covering of $X_0(p^3)$ defined over $R_p$ such that, for each such $A$, one connected component of the supersingula…

Octad picture stable-reduction conjecture. The stable reduction type, including whether or not it is hyperelliptic, of any smooth plane quartic over any non-archimedean local field…

Let $(X,L)$ be a normal projective variety over a number field $K$, and consider integral projective models $(\mathcal{X},\mathcal{L})$ over rings of integers $\mathcal{O}_{K'}$ of…