2 problems

Let $A$ be the coefficient ring of a global function field, let $\mathfrak n=\mathfrak p\mathfrak q$ be a product of two distinct prime ideals of $A$ with $\deg(\mathfrak p)\leq 2$…

Let a building block be an abelian variety over a number field that occurs, up to isogeny, in the absolute decomposition of an abelian variety of ${\rm GL}_2$-type. Call an abelian…