F-invariants of diagonal hypersurfaces

Mathematics – Commutative Algebra

Scientific paper

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11 pages. Comments welcome!

Scientific paper

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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