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.
Invariants of algebraic varieties over imperfect fields
2 Pith papers cite this work. Polarity classification is still indexing.
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A regular projective surface S over a field k of char p≥7 with H^0(S,O_S)=k and -K_S nef is geometrically integral over k.
citing papers explorer
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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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Geometric singularities of regular surfaces with nef anti-canonical divisors over imperfect fields
A regular projective surface S over a field k of char p≥7 with H^0(S,O_S)=k and -K_S nef is geometrically integral over k.