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    • Nonfiniteness of Hilbert–Kunz functions

      V TRIVEDI

      Research Article Volume 127 Issue 2 April 2017 pp 263-268

    • Fulltext

       

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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

       
      Published
      20 April 2017
      Manuscript received
      30 September 2015
      Manuscript revised
      18 February 2016
      Accepted
      18 March 2016
      Early published
      Unedited version published online
      Final version published online
      15 April 2017

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