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

Xiaopeng Xia; Jinxing Xu

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arXiv · 2512.07488

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

Xiaopeng Xia·Jinxing Xu

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Abstract

We determine the mod-$\ell$ geometric monodromy group of the universal family of double covers of projective space branched along hyperplane arrangements in general position.

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Xiaopeng Xia, Jinxing Xu. 2025-12-08. Mod-$\ell$ monodromy of double covers of $\mathbb{P}^n$ branched along hyperplane arrangements. https://arxiv.org/abs/2512.07488

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