\(F\)-signature and Hilbert-Kunz multiplicity: a combined approach and comparison

DOI10.2140/ant.2018.12.61zbMath1401.13015arXiv1608.02678OpenAlexW3099172244MaRDI QIDQ1744679

Thomas Polstra, Kevin Tucker

Publication date: 19 April 2018

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.02678

zbMATH Keywords

Hilbert-Kunz multiplicity\(F\)-signature

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items

Local cohomology bounds and the weak implies strong conjecture in dimension 4 ⋮ Interpolating between Hilbert-Samuel and Hilbert-Kunz multiplicity ⋮ ERRATUM: CONTINUITY OF HILBERT–KUNZ MULTIPLICITY AND F-SIGNATURE ⋮ Tight closure and strongly F-regular rings ⋮ Global F-splitting ratio of modules ⋮ On semicontinuity of multiplicities in families ⋮ On the equality of test ideals ⋮ CONTINUITY OF HILBERT–KUNZ MULTIPLICITY AND F-SIGNATURE ⋮ F-signature function of quotient singularities ⋮ -SIGNATURE UNDER BIRATIONAL MORPHISMS ⋮ Bertini theorems for \(F\)-signature and Hilbert-Kunz multiplicity ⋮ Hilbert-Kunz multiplicity of fibers and Bertini theorems ⋮ Equimultiplicity theory of strongly \(F\)-regular rings ⋮ The shape of Hilbert-Kunz functions ⋮ 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

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