Articles written in Proceedings – Mathematical Sciences

    • Nonfiniteness of Hilbert–Kunz functions


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      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.

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