Local vanishing for F-pure threefolds
Algebraic Geometry
2026-04-17 v1
Abstract
We establish Grauert--Riemenschneider vanishing for -pure threefolds over a perfect field of characteristic . We apply this to prove Steenbrink vanishing for three-dimensional sharply -pure pairs in characteristic . As a consequence, we obtain the logarithmic extension for one-forms in this setting.
Keywords
Cite
@article{arxiv.2604.14760,
title = {Local vanishing for F-pure threefolds},
author = {Tatsuro Kawakami},
journal= {arXiv preprint arXiv:2604.14760},
year = {2026}
}
Comments
15 pages