Mod-ℓ monodromy of double covers of ℙⁿ branched along hyperplane arrangements

2025/12/08 by Xia, Xiaopeng, Xu, Jinxing
Mathematics · #Algebraic Geometry and Number Theory #Finite Group Theory Research #Advanced Algebra and Geometry

paper · doi:10.48550/arxiv.2512.07488

Abstract

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

Citations

• The monodromy groups of Dolgachev's CY moduli spaces are Zariski dense
• On different notions of tameness in arithmetic geometry
• The large sieve, monodromy and zeta functions of curves

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