Notes on the Frobenius test exponents
classification
🧮 math.AC
keywords
frobeniuslocaltestalwaysargumentbiggercharacteristiccohomology
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In this paper we show that the Frobenius test exponent for parameter ideals of a local ring of prime characteristic is always bigger than or equal to its Hartshorne-Speiser-Lyubeznik number. Our argument is based on an isomorphism of Nagel and Schenzel on local cohomology that we will provide an elementary proof.
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