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Hilbert-Kunz functions in a family: Line-\(S_4\) quartics

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Publication:1271126
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DOI10.1006/jabr.1998.7517zbMath0932.13011OpenAlexW2593969774MaRDI QIDQ1271126

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Publication date: 18 February 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7517


zbMATH Keywords

dynamical systemsHilbert-Kunz functionHilbert-Kunz multiplicityplane quartic


Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Families, moduli of curves (algebraic) (14H10) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)


Related Items (7)

Equimultiplicity in Hilbert-Kunz theory ⋮ On semicontinuity of multiplicities in families ⋮ Semistability and Hilbert-Kunz multiplicities for curves ⋮ Lengths of tors determined by killing powers of ideals in a local ring. ⋮ Hilbert-Kunz functions in a family: Point-\(S_4\) quartics ⋮ The shape of Hilbert-Kunz functions ⋮ On the Hilbert-Kunz function of \(z^D-p_{4}(x,y)\)



Cites Work

  • Hilbert-Kunz functions in a family: Point-\(S_4\) quartics


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