3 problems

Karp–Cook separation conjecture. The set of problems that are ${\mathsf{NP}}$-complete using Karp reductions is a strict subset of the set of problems that are ${\mathsf{NP}}$-comp…

Let $X$ be an absolutely simple abelian variety over a number field $F$. After replacing $F$ by a finite extension if necessary, let $d^2$ be the dimension over its center of the d…

Let $X$ be an absolutely simple abelian variety over a number field $K$. Say that a prime of $K$ is a splitting prime for $X$ when the reduction of $X$ at that prime is not simple.…