Grauert-Riemenschneider vanishing holds for F-pure threefolds in char p>5, implying Steenbrink vanishing for sharply F-pure pairs and logarithmic extension for one-forms.
Higher F -injective singularities
4 Pith papers cite this work. Polarity classification is still indexing.
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The category of pro-étale vector bundles on a proper rigid-analytic variety X over C is equivalent to the category of Higgs bundles on the eh-site of X.
Proves logarithmic extension of one-forms on strongly F-regular singularities and on 3D klt singularities in char p>41 by reducing via Cartier operators to the 2D klt case with imperfect residue fields.
Under a codimension assumption on the singular locus, isomorphism of the m-th differential sheaf implies isomorphisms for all lower i on complex hypersurfaces, with a positive characteristic analogue discussed.
citing papers explorer
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Local vanishing for F-pure threefolds
Grauert-Riemenschneider vanishing holds for F-pure threefolds in char p>5, implying Steenbrink vanishing for sharply F-pure pairs and logarithmic extension for one-forms.
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A $p$-adic Simpson correspondence for singular rigid-analytic varieties
The category of pro-étale vector bundles on a proper rigid-analytic variety X over C is equivalent to the category of Higgs bundles on the eh-site of X.
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Extending one-forms on $F$-regular singularities
Proves logarithmic extension of one-forms on strongly F-regular singularities and on 3D klt singularities in char p>41 by reducing via Cartier operators to the 2D klt case with imperfect residue fields.
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Higher singularities for hypersurfaces
Under a codimension assumption on the singular locus, isomorphism of the m-th differential sheaf implies isomorphisms for all lower i on complex hypersurfaces, with a positive characteristic analogue discussed.