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arXiv · 2606.14110

Artin-Schreier Root Stacks and lifts of group actions

Sujoy Chakraborty·Souradeep Majumder
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Abstract

Let $G$ be a connected affine algebraic group defined over a field of positive characteristic. We prove that the action of $G$ on a smooth projective variety can be lifted to its associated Artin-Schreier root stacks, whenever $G$ has no non-trivial characters. The existence of a $G$-linearization on a certain tautological invertible sheaf on such Artin-Schreier root stacks is also shown.

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Sujoy Chakraborty, Souradeep Majumder. 2026-06-12. Artin-Schreier Root Stacks and lifts of group actions. https://arxiv.org/abs/2606.14110

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