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Descent for algebraic stacks

Published 18 Apr 2025 in math.AG and math.NT | (2504.13642v1)

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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