The Artin invariant of a smooth K3 hypersurface is characterized in terms of quasi-F-splitting, yielding an explicit formula.
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4 Pith papers cite this work. Polarity classification is still indexing.
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Develops a method for plus-pure thresholds and classifies BCM-regular diagonal hypersurfaces in mixed characteristic (0,2) via necessary/sufficient conditions and lower bounds.
The authors establish the Carvajal-Rojas-Schwede-Tucker conjecture on positive limiting F-signature for two specific classes of complex KLT singularities using inductive arguments and toric degenerations inspired by K-stability.
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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An explicit formula for the Artin invariant of smooth K3 hypersurfaces
The Artin invariant of a smooth K3 hypersurface is characterized in terms of quasi-F-splitting, yielding an explicit formula.
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BCM-regularity of diagonal hypersurfaces and plus-pure thresholds in mixed characteristic
Develops a method for plus-pure thresholds and classifies BCM-regular diagonal hypersurfaces in mixed characteristic (0,2) via necessary/sufficient conditions and lower bounds.
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On positivity of the limit F-signature
The authors establish the Carvajal-Rojas-Schwede-Tucker conjecture on positive limiting F-signature for two specific classes of complex KLT singularities using inductive arguments and toric degenerations inspired by K-stability.
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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.