Nonfiniteness of hilbert-kunz functions

V. Trivedi

doi:10.1007/s12044-017-0329-4

Nonfiniteness of hilbert-kunz functions

V. Trivedi

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Here we answer a question of C. Huneke, by giving an example of a family (parametrized by A 1/F_p) of one-dimensional reduced Cohen-Macaulay rings such that every member has the same Hilbert-Kunz multiplicity but there are infinitely many Hilbert-Kunz functions in the family.

Original language	English
Pages (from-to)	263-268
Number of pages	6
Journal	Proceedings of the Indian Academy of Sciences: Mathematical Sciences
Volume	127
Issue number	2
DOIs	https://doi.org/10.1007/s12044-017-0329-4
State	Published - Apr 1 2017

Keywords

Cohen-macaulay rings
Hilbert-kunz functions
Hilbert-kunz multiplicity

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10.1007/s12044-017-0329-4

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AB - Here we answer a question of C. Huneke, by giving an example of a family (parametrized by A 1/Fp) of one-dimensional reduced Cohen-Macaulay rings such that every member has the same Hilbert-Kunz multiplicity but there are infinitely many Hilbert-Kunz functions in the family.

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KW - Hilbert-kunz multiplicity

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JO - Proceedings of the Indian Academy of Sciences: Mathematical Sciences

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Nonfiniteness of hilbert-kunz functions

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Keywords

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