The Artin invariant of a smooth K3 hypersurface is characterized in terms of quasi-F-splitting, yielding an explicit formula.
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Normalized local volume at non-closed points is determined by the volumes at closed points.
Quasi-monomial valuations exist that compute α(X,Δ,L) and δ(X,Δ,L) for projective klt pairs over arbitrary fields.
Alternative proof of anticanonical MMP existence for potentially klt pairs under birational Zariski decomposition assumption, together with a lifting structure theorem for partial MMP steps.
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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On the normalized local volume of a non-closed point
Normalized local volume at non-closed points is determined by the volumes at closed points.
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On the quasi-monomiality of the $\alpha$-and $\delta$-invariants
Quasi-monomial valuations exist that compute α(X,Δ,L) and δ(X,Δ,L) for projective klt pairs over arbitrary fields.
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Structure of the Anticanonical Minimal Model Program for Potentially klt Pairs
Alternative proof of anticanonical MMP existence for potentially klt pairs under birational Zariski decomposition assumption, together with a lifting structure theorem for partial MMP steps.