Abstract:F-signature is an important numeric invariant of singularities in positive characteristic that can be used to detect strong F-regularity.
One would like to have a variant that rather detects F-rationality, and there are two theories that aim to fill this gap: F-rational signature of Hochster and Yao and dual F-signature of Sannai.
Unfortunately, several important properties of the original F-signature are unknown for these invariants.
We find a modification of the Hochster–Yao definition that agrees with Sanna… Show more
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