Hilbert–Kunz Multiplicities in Families of Certain Two-Dimensional, ℕ-Graded Rings

DOI10.1080/00927872.2014.925119zbMath1397.13010OpenAlexW1558999281MaRDI QIDQ5501067

Daniel Brinkmann

Publication date: 11 August 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2014.925119

zbMATH Keywords

Hilbert-Kunz multiplicitytrinomialSyzyzy modules

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Cites Work

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• Syzygy gap fractals. I: Some structural results and an upper bound
• The Hilbert-Kunz multiplicity of an irreducible trinomial
• Hilbert-Kunz multiplicity and an inequality between multiplicity and colength
• On Noetherian Rings of Characteristic p

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