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Title: The theory of F-rational signature
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 Sannai’s dual F-signature and push further the united theory to achieve acompletegeneralization of F-signature.  more » « less
Award ID(s):
2200716
PAR ID:
10588802
Author(s) / Creator(s):
;
Publisher / Repository:
De Gruyter
Date Published:
Journal Name:
Journal für die reine und angewandte Mathematik (Crelles Journal)
Volume:
0
Issue:
0
ISSN:
0075-4102
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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