2 problems

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Deformation conjecture for F-purity in Q-Gorenstein rings
Deformation conjecture for $F$ -purity. Then $R$ is $F$ -pure.
Conjecturesolvedcommutative-algebra f-singularities q-gorenstein-ringsarXiv posted 2 days ago
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Finite-generation converse for Frobenius operators on Q-Gorenstein rings
Finite-generation converse conjecture. If the order of the canonical module is a multiple of the characteristic of $R$ , then $\mathcal F(E)$ is not a finitely generated ring extens…
Conjectureopencommutative-algebra frobenius-algebras q-gorenstein-ringsarXiv posted 2 days ago

Deformation conjecture for F-purity in Q-Gorenstein rings