Geometric monodromy of double covers of ${\mathbb{P}}^n$ branched along hyperplane arrangements

Xiaopeng Xia, Jinxing Xu

Let $n\ge 1$, let $m\ge n+3$ be even, and let $\ell$ be an odd prime. Over an algebraically closed field in which $2\ell$ is invertible, we determine the geometric mod-$\ell$ and in…