Some computations of the generalized Hilbert-Kunz function and multiplicity

DOI10.1090/proc/12928zbMath1346.13008arXiv1503.00894OpenAlexW2963883585MaRDI QIDQ2809176

Hailong Dao, Kei- ichi Watanabe

Publication date: 27 May 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.00894

zbMATH Keywords

Frobenius endomorphismisolated singularitytoric ringsgeneralized Hilbert-Kunz multiplicity

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (4)

Some extensions of Hilbert-Kunz multiplicity ⋮ On the generalized Hilbert-Kunz function and multiplicity ⋮ Length of local cohomology of powers of ideals ⋮ GENERALIZED HILBERT–KUNZ FUNCTION IN GRADED DIMENSION 2

Cites Work

• Multiplicities and Rees valuations
• \(F\)-regular and \(F\)-pure normal graded rings
• The Hilbert-Kunz function of rings of finite Cohen-Macaulay type
• On the generalized Hilbert-Kunz function and multiplicity
• Some extensions of Hilbert-Kunz multiplicity
• The \(j\)-multiplicity of monomial ideals
• Decent intersection and Tor-rigidity for modules over local hypersurfaces
• The homological theory of maximal Cohen-Macaulay approximations
• Depth of -singularities and base change of relative canonical sheaves
• The Hilbert–Kunz Function in Graded Dimension Two
• MODULES WITH FINITE $F$-REPRESENTATION TYPE
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• Unnamed Item
• Unnamed Item

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