3 problems

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The p-stability criterion for strongly F-regular rings
The p-stability criterion. The system $\mathfrak{b}_\bullet$ is $p$ -stable if
Conjectureopencartier-algebras frobenius-singularities p-familiesarXiv posted 2 days ago
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Reduction of maximal non-lc ideals to non- $F$ -pure ideals
Maximal non-lc reduction conjecture. The reduction of the maximal non-lc ideal filtration coincides with the non- $F$ -pure ideal filtration on a dense set of closed fibers, as asser…
Conjectureopenfrobenius-singularities multiplier-ideals singularitiesarXiv posted 2 days ago
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The weak ordinarity conjecture
Weak ordinarity conjecture. The assertion above holds for every such $X$ and every model.
Conjectureopenalgebraic-geometry frobenius-singularitiesarXiv posted 2 days ago

The p-stability criterion for strongly F-regular rings