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<p>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 <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math> <mi>F</mi> </math></EquationSource> <EquationSource Format="TEX">$F$</EquationSource> </InlineEquation>–rational singularities.</p>

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A Grauert–Riemenschneider vanishing theorem for Witt canonical sheaves

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  • 发表日期：

    2026年8月4日

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  • Jefferson Baudin

摘要

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.