Descent for algebraic stacks

2025/04/18 by Fortman, Olivier de Gaay
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2504.13642

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 for stacks in terms of group actions on the stack.

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