F-invariants of diagonal hypersurfaces
classification
🧮 math.AC
keywords
hypersurfacesdiagonalf-purethresholdassociatedcalculatecharacteristicderive
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In this note, we derive a formula for the F-pure threshold of diagonal hypersurfaces over a perfect field of prime characteristic. We also calculate the associated test ideal at the F-pure threshold, and give formulas for higher jumping numbers of Fermat hypersurfaces.
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