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arXiv · 2409.20068

Iterated descent obstructions for algebraic stacks

Han Wu·Chang Lv
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Abstract

Base on a conjecture, we prove that for any smooth separated stack of finite type over a number field, its descent obstruction equals its iterated descent obstruction. As a consequence, we show that for any algebraic stack over a number field that has a finite etale covering of a smooth geometrically integral variety, its descent obstruction equals its iterated descent obstruction.

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Han Wu, Chang Lv. 2024-09-30. Iterated descent obstructions for algebraic stacks. https://arxiv.org/abs/2409.20068

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