Upper semi-continuity of the Hilbert–Kunz multiplicity

DOI10.1112/S0010437X15007800zbMath1370.13006arXiv1407.6476MaRDI QIDQ2805049

Ilya Smirnov

Publication date: 9 May 2016

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.6476

zbMATH Keywords

Hilbert-Kunz multiplicityupper-semicontinuityF-finite rings

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items

Equimultiplicity in Hilbert-Kunz theory ⋮ Global Frobenius Betti numbers and Frobenius Euler characteristics ⋮ Global F-splitting ratio of modules ⋮ On semicontinuity of multiplicities in families ⋮ Globalizing F-invariants ⋮ Uniform bounds in F-finite rings and lower semi-continuity of the F-signature ⋮ Bertini theorems for \(F\)-signature and Hilbert-Kunz multiplicity ⋮ \(F\)-signature and Hilbert-Kunz multiplicity: a combined approach and comparison ⋮ Hilbert-Kunz multiplicity of fibers and Bertini theorems ⋮ Étale Fundamental Groups of Strongly $\boldsymbol{F}$-Regular Schemes

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