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algebraic geometry 1deligne-mumford stacks 1positivity theorems 1stack theory 1torsion-free hypothesis 1

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20242026
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math.AC2026

On two questions of Qi on saturated filtrations

Jihao Liu, Haofeng Zhang

We answer two questions of Qi [J. Reine Angew. Math. 830 (2026)] on the metric space of saturated filtrations, one affirmatively and one negatively. The main result of this paper w…