The Artin invariant of a smooth K3 hypersurface is characterized in terms of quasi-F-splitting, yielding an explicit formula.
Tohoku Math
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Explicit formulas for the Hodge-Laplacian spectrum on 1-forms of homogeneous 3-spheres are derived, and this spectrum determines the metric up to isometry.
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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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Hodge Laplacian on $1$-forms of homogeneous $3$-spheres
Explicit formulas for the Hodge-Laplacian spectrum on 1-forms of homogeneous 3-spheres are derived, and this spectrum determines the metric up to isometry.