3 problems

Let ${\pazocal{A}}$ be an arrangement of rank at least $3$. For each prime $p$ and integer $s\ge 1$, let ${e}_{p^s}({\pazocal{A}})$ denote the corresponding elementary divisor mult…

Let $X$ be a smooth projective variety defined over a number field $k$, let $\ell$ be a prime, and set … Let $G_\ell$ be the generic fiber of the Zariski closure of the image of th…

Combinatorial monodromy conjecture. The characteristic polynomial is determined by this formula. The preceding results establish the formula in several cases, including arrangement…