Abstract
ABSTRACTWe prove the versions of amplitude inequalities of Iversen, Foxby and Iyengar, and Frankild and Sather-Wagstaff that replace finite generation conditions with adic finiteness conditions. As an application, we prove that a local ring R of prime characteristic is regular if and only if for some proper ideal 𝔟 the derived local cohomology complex RΓ𝔟(R) has finite flat dimension when viewed through some positive power of the Frobenius endomorphism.
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