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Hilbert-Kunz function of monomial ideals and binomial hypersurfaces

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Abstract

The aim of this note is to determine the Hilbert-Kunz functions of rings defined by monomial ideals and of rings defined by a single binomial equationX a−Xb with gcd(X a, Xb)=1.

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References

  1. Buchweitz R., Pardue K.: Hilbert-Kunz functions. Provisory title of a paper in preparation (1995)

  2. Chang S.T.: The asymptotic behaviour of Hilbert-Kunz functions and their generalizations. Doctoral Thesis, University of Michigan (1992)

  3. Han C.: The Hilbert-Kunz function of a diagnonal hypersurface. Doctoral Thesis, Brandeis University (1992)

  4. Han C., Monsky P.: Some surprising Hilbert-Kunz functions. Math. Z.214, 119–135 (1993)

    MATH  MathSciNet  Google Scholar 

  5. Kunz K.: Characterizations of regular rings of characteristicp. Am. J. Math.41, 772–784 (1969)

    Article  MathSciNet  Google Scholar 

  6. Kunz K.: On Noetherian rings of characteristicp. Am. J. Math.98, 999–1013 (1976)

    Article  MATH  MathSciNet  Google Scholar 

  7. Monsky P.: The Hilbert-Kunz function. Math. Ann.263, 43–49 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  8. Pardue K.: Non standard Borel fixed ideals. Doctoral Thesis, Brandeis University (1994)

  9. Seibert G.: Complexes with homology of finite length and Frobenius functors. J. Alg.125, 278–287 (1989)

    Article  MATH  MathSciNet  Google Scholar 

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  1. FB 6 Mathematik und Informatik, Universität-Gesamthochschule Essen, D-45117, Essen, Germany

    Aldo Conca

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  1. Aldo Conca
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Conca, A. Hilbert-Kunz function of monomial ideals and binomial hypersurfaces. Manuscripta Math 90, 287–300 (1996). https://doi.org/10.1007/BF02568307

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  • DOI: https://doi.org/10.1007/BF02568307

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