Bounds on the Hilbert-Kunz multiplicity

DOI10.1215/00277630-1543805zbMath1258.13009arXiv1102.5101OpenAlexW2963716805MaRDI QIDQ2880839

Hailong Dao, Yi Zhang, Olgur Celikbas, Craig Huneke

Publication date: 17 April 2012

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.5101

zbMATH Keywords

Hilbert-Kunz multiplicityF-signatureWatanabe-Yoshida conjecture

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Singularities in algebraic geometry (14B05) Integral closure of commutative rings and ideals (13B22) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (5)

Globalizing F-invariants ⋮ The Hilbert-Kunz density functions of quadric hypersurfaces ⋮ Lech's inequality, the Stückrad-Vogel conjecture, and uniform behavior of Koszul homology ⋮ The shape of Hilbert-Kunz functions ⋮ Asymptotic Lech's inequality

Cites Work

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• Unmixed local rings with minimal Hilbert-Kunz multiplicity are regular
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• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• Hilbert-Kunz Multiplicity of Three-Dimensional Local Rings
• On rings with small Hilbert-Kunz multiplicity
• On Roberts rings.

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