6 problems

Let $X$ be a singular K3 surface, let $p$ be a supersingular prime for $X$, and let $T_X$ be its positive-definite transcendental lattice. Define the supersingular reduction lattic…

Conjecture on simultaneous supersingular reduction. There is a polynomial, with degree and coefficients depending on $E$ and $E'$, such that

Let $E$ and $E'$ be two elliptic curves defined over a number field $K$. Assume that $E$ and $E'$ are non-CM and non-isogenous over $\overline{\mathbb{Q}}$. Let … where…

Let $E/\mathbb{Q}$ be an elliptic curve and let $p$ be a prime of good supersingular reduction. Let $\mu_p^\pm$ denote the signed Iwasawa $\mu$-invariants attached to $E$ along the…

Let $E$ be the elliptic curve and let $X_{\infty,f}^{\pm}$, $\Lambda(H)$, and the groups and fields denoted by the notation of Section 1 in the source be as defined there.…

Let $k$ be an algebraically closed field of positive characteristic $p>0$, and let $C$ be a proper smooth curve over $k$ with function field $K=k(C)$. Let $X$ be a non-isotrivial,…