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Iterated descent obstructions for algebraic stacks (2409.20068v1)

Published 30 Sep 2024 in math.NT

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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