F-invariants of diagonal hypersurfaces

2011/12/12 by Hernández, Daniel J. · 2 citations
#13A35 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1112.2425

Abstract

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.

Cited by

• Bounds on the plus-pure thresholds of some hypersurfaces in (ramified) regular rings
• On lower bounds for the F-pure threshold of equigenerated ideals

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