2 problems

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Frobenius liftability conjecture for cusp singularities
Frobenius liftability conjecture. Every cusp singularity is $F$ -liftable.
Conjectureopenfrobenius-liftability surface-singularitiesarXiv posted 2 days ago
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Achinger–Witaszek–Zdanowicz conjecture on Frobenius-liftable varieties
Achinger–Witaszek–Zdanowicz conjecture. There exists a finite étale Galois cover $f:Y\to X$ such that the Albanese morphism
Conjecturesolvedfrobenius-liftability positive-characteristic-geometry toric-varietiesarXiv posted 2 days ago

Frobenius liftability conjecture for cusp singularities