Hilbert-Kunz function and Hilbert-Kunz multiplicity of some ideals of the Rees algebra

DOI10.1080/00927872.2021.1887881OpenAlexW3133873021MaRDI QIDQ5156129

Mitra Koley, Kriti Goel, Jugal Kishore Verma

Publication date: 14 October 2021

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

Full work available at URL: https://arxiv.org/abs/1911.03889

zbMATH Keywords

Rees algebraHilbert-Kunz functionHilbert-Kunz multiplicitygeneralized Hilbert-Kunz function

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) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (1)

Generalized Hilbert-Kunz function of the Rees algebra of the face ring of a simplicial complex

Cites Work

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• Hilbert-Kunz functions of a Hirzebruch surface
• Some surprising Hilbert-Kunz functions
• Hilbert-Kunz functions of cubic curves and surfaces
• The Hilbert-Kunz function of a characteristic 2 cubic
• Hilbert-Kunz function of monomial ideals and binomial hypersurfaces
• The Hilbert-Kunz function
• Hilbert--Kunz functions and multiplicities for full flag varieties and elliptic curves.
• Nonfiniteness of Hilbert-Kunz functions
• Rees Algebras and Mixed Multiplicities
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• Form rings and regular sequences
• Notes on Hilbert-Kunz Multiplicity of Rees Algebras
• Tight closure of powers of ideals and tight hilbert polynomials
• The Hilbert–Kunz Function in Graded Dimension Two
• Characterizations of Regular Local Rings of Characteristic p

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