3 problems

Let $E$) be a number field, let $A/E$ be an abelian variety, and let $\mathrm{MT}(A)$ denote its Mumford–Tate group. A point of an algebraic group is unipotent if it is unipotent i…

Let $B$ be a smooth variety over a field $k$, let $K=k(B)$, and let $A$ be an abelian $K$-variety. Assume that $A$ has semistable reduction at every point of $B^{(1)}$. For any pro…

Let $\Omega$ be an arbitrary Hessenberg type, and let $NRS(\Omega)$ denote the set of NRS-matrices of type $\Omega$. Call a matrix $\varsigma$-reduced according to the paper's redu…