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arXiv · 2506.14647

A Grauert-Riemenschneider vanishing theorem for Witt canonical sheaves

Jefferson Baudin
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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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Jefferson Baudin. 2025-06-17. A Grauert-Riemenschneider vanishing theorem for Witt canonical sheaves. https://arxiv.org/abs/2506.14647

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