A Grauert-Riemenschneider vanishing theorem for Witt canonical sheaves
Abstract
We prove a Witt vector version of the usual Grauert-Riemenschneider vanishing theorem over fields of positive characteristic, solving a question raised by Blickle, Esnault, Chatzistamatiaou and R\"ulling. We then deduce some rationality consequences for F-rational singularities.
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