In:
Mathematical Proceedings of the Cambridge Philosophical Society, Cambridge University Press (CUP), Vol. 174, No. 2 ( 2023-03), p. 247-271
Kurzfassung:
Hilbert–Kunz multiplicity and F-signature are numerical invariants of commutative rings in positive characteristic that measure severity of singularities: for a regular ring both invariants are equal to one and the converse holds under mild assumptions. A natural question is for what singular rings these invariants are closest to one. For Hilbert–Kunz multiplicity this question was first considered by the last two authors and attracted significant attention. In this paper, we study this question, i.e., an upper bound, for F-signature and revisit lower bounds on Hilbert–Kunz multiplicity.
Materialart:
Online-Ressource
ISSN:
0305-0041
,
1469-8064
DOI:
10.1017/S0305004122000238
Sprache:
Englisch
Verlag:
Cambridge University Press (CUP)
Publikationsdatum:
2023
ZDB Id:
1483586-1
ZDB Id:
209201-3
SSG:
17,1
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