The Artin invariant of a smooth K3 hypersurface is characterized in terms of quasi-F-splitting, yielding an explicit formula.
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6 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 6representative citing papers
Smooth Calabi-Yau hypersurfaces over unramified DVRs are perfectoid split and unramified lifts of Fano hypersurfaces are globally +-regular when p is large enough and does not divide d.
A correspondence is shown between lim-perfectoid splitting of projective schemes and lim-perfectoid purity of their Gorenstein section rings, supplying new examples of lim-perfectoid pure rings.
Establishes bounds and limits for plus-pure thresholds of hypersurfaces in ramified and unramified mixed-characteristic regular rings, including non-attainment of extremal values and examples tied to elliptic curves.
Graded absolute perfectoidization of G-graded adic rings yields an algebraization of the structure sheaf of projective-type formal schemes.
The paper surveys the theory of quasi-F-singularities and their relations to singularities in birational geometry.
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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Perfectoid splitting and global $+$-regularity for smooth hypersurfaces
Smooth Calabi-Yau hypersurfaces over unramified DVRs are perfectoid split and unramified lifts of Fano hypersurfaces are globally +-regular when p is large enough and does not divide d.
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A local-global correspondence for perfectoid purity
A correspondence is shown between lim-perfectoid splitting of projective schemes and lim-perfectoid purity of their Gorenstein section rings, supplying new examples of lim-perfectoid pure rings.
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Bounds on the plus-pure thresholds of some hypersurfaces in (ramified) regular rings
Establishes bounds and limits for plus-pure thresholds of hypersurfaces in ramified and unramified mixed-characteristic regular rings, including non-attainment of extremal values and examples tied to elliptic curves.
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Algebraization of absolute perfectoidization via section rings
Graded absolute perfectoidization of G-graded adic rings yields an algebraization of the structure sheaf of projective-type formal schemes.
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Quasi-$F$-singularities and singularities in birational geometry
The paper surveys the theory of quasi-F-singularities and their relations to singularities in birational geometry.