• Nonfiniteness of Hilbert–Kunz functions

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/127/02/0263-0268

    • Keywords

       

      Cohen-Macaulay rings; Hilbert–Kunz functions; Hilbert–Kunz multiplicity

    • Abstract

       

      Here we answer a question of C. Huneke, by giving an example of a family (parametrized by $\mathbb{A}\frac{1}{\mathbb{F}_p}$) of one-dimensional reduced Cohen–Macaulay rings such thatevery member has the same Hilbert–Kunz multiplicity but there are infinitely many Hilbert–Kunz functions in the family.

    • Author Affiliations

       

      V TRIVEDI1

      1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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