Observations on the \(F\)-signature of local rings of characteristic \(p\)

DOI10.1016/j.jalgebra.2005.08.013zbMath1102.13027OpenAlexW2048372308MaRDI QIDQ2497453

Yongwei Yao

Publication date: 4 August 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.08.013

zbMATH Keywords

regular ringsflat extensionGorenstein ringsexcellent ringsmaximal Cohen-Macaulay modules

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Regular local rings (13H05)

Related Items (33)

Bounds on the Hilbert-Kunz multiplicity ⋮ Fundamental groups of $F$-regular singularities via $F$-signature ⋮ The direct sum decomposability of \(^eM\) in dimension 2 ⋮ On the existence of 𝐹-thresholds and related limits ⋮ Tight closure and strongly F-regular rings ⋮ A Volume = Multiplicity formula for 𝑝-families of ideals ⋮ Globalizing F-invariants ⋮ Dual \(F\)-signature of Cohen-Macaulay modules over rational double points ⋮ Frobenius splitting, strong F-regularity, and small Cohen-Macaulay modules ⋮ Generalized \(F\)-signatures of the rings of invariants of finite group schemes ⋮ Tame fundamental groups of pure pairs and Abhyankar's lemma ⋮ Uniform bounds in F-finite rings and lower semi-continuity of the F-signature ⋮ The existence of the \(F\)-signature for rings with large \(\mathbb Q\)-Gorenstein locus ⋮ -SIGNATURE UNDER BIRATIONAL MORPHISMS ⋮ Bertini theorems for \(F\)-signature and Hilbert-Kunz multiplicity ⋮ Generalized \(F\)-signature of invariant subrings ⋮ \(F\)-signature and Hilbert-Kunz multiplicity: a combined approach and comparison ⋮ Dual \(F\)-signature of special Cohen-Macaulay modules over cyclic quotient surface singularities ⋮ \(F\)-signature of pairs and the asymptotic behavior of Frobenius splittings ⋮ \(F\)-signature exists ⋮ \(F\)-signature of graded Gorenstein rings ⋮ Local Okounkov bodies and limits in prime characteristic ⋮ \(F\)-invariants of Stanley-Reisner rings ⋮ The lower semicontinuity of the Frobenius splitting numbers ⋮ The symmetric signature ⋮ \(F\)-volumes ⋮ Differential symmetric signature in high dimension ⋮ FFRT properties of hypersurfaces and their F-signatures ⋮ The shape of Hilbert-Kunz functions ⋮ Quantifying singularities with differential operators ⋮ Étale Fundamental Groups of Strongly $\boldsymbol{F}$-Regular Schemes ⋮ The F-rational signature and drops in the Hilbert-Kunz multiplicity ⋮ Lower bounds on Hilbert–Kunz multiplicities and maximal F-signatures

Cites Work

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