A Grauert-Riemenschneider vanishing theorem for Witt canonical sheaves
Algebraic Geometry
2025-06-18 v1
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 -rational singularities.
Keywords
Cite
@article{arxiv.2506.14647,
title = {A Grauert-Riemenschneider vanishing theorem for Witt canonical sheaves},
author = {Jefferson Baudin},
journal= {arXiv preprint arXiv:2506.14647},
year = {2025}
}
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