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arXiv · 2504.13642

Descent for algebraic stacks

Olivier de Gaay Fortman
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Abstract

We prove that algebraic stacks satisfy 2-descent for fppf coverings. We generalize Galois descent for schemes to stacks, by considering the case where the fppf covering is a finite Galois covering, and reformulating 2-descent data in terms of Galois group actions on the stack.

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Olivier de Gaay Fortman. 2025-04-18. Descent for algebraic stacks. https://arxiv.org/abs/2504.13642

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