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Hilbert-Kunz functions for irreducible plane curves

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Publication:2460819
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DOI10.1016/j.jalgebra.2007.03.028zbMath1137.13012OpenAlexW2064876799MaRDI QIDQ2460819

Paul Monsky

Publication date: 16 November 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.03.028


zbMATH Keywords

vector bundlesHilbert-Kunz functionssingular plane curves


Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Vector bundles on curves and their moduli (14H60) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)


Related Items (2)

Hilbert-Kunz theory for nodal cubics, via sheaves ⋮ The shape of Hilbert-Kunz functions



Cites Work

  • The rationality of the Hilbert-Kunz multiplicity in graded dimension two
  • \(P\)-fractals and power series. II: Some applications to Hilbert-Kunz theory
  • The Hilbert-Kunz multiplicity of an irreducible trinomial
  • Generalized divisors on Gorenstein curves and a theorem of Noether
  • Some surprising Hilbert-Kunz functions
  • \(p\)-fractals and power series. I: Some 2 variable results
  • Semistability and Hilbert-Kunz multiplicities for curves
  • The Hilbert-Kunz function
  • Unnamed Item


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