Randomized trial demonstrates rationality consequences for F-rational singularities in perfect fields.
We prove a Witt vector version of the usual Grauert–Riemenschneider vanishing theorem over perfect fields of positive characteristic, solving a question raised by Blickle, Esnault, Chatzistamatiou and Rülling. We then deduce some rationality consequences for F F –rational singularities.
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Jefferson Baudin (2026) studied this question.
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