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math.AG2022★ 2 cited
The period-index problem and Hodge theory
Aise Johan de Jong, Alexander Perry
Conditional on the Lefschetz standard conjecture in degree 2, we prove that the index of a Brauer class on a smooth projective variety divides a fixed power of its period, uniforml…
math.AG2022
On weakly étale morphisms
Aise Johan de Jong, Noah Olander
We show that the weakly étale morphisms, used to define the pro-étale site of a scheme, are characterized by a lifting property similar to the one which characterizes formally étal…