Unmixed local rings with minimal Hilbert-Kunz multiplicity are regular
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- by Craig Huneke and Yongwei Yao PDF
- Proc. Amer. Math. Soc. 130 (2002), 661-665 Request permission
Abstract:
We give a new and simple proof that unmixed local rings having Hilbert-Kunz multiplicity equal to $1$ must be regular.References
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Additional Information
- Craig Huneke
- Affiliation: Department of Mathematics, University of Kansas, Lawrence, Kansas 66045
- MR Author ID: 89875
- Email: huneke@math.ukans.edu
- Yongwei Yao
- Affiliation: Department of Mathematics, University of Kansas, Lawrence, Kansas 66045
- MR Author ID: 685921
- Email: yyao@math.ukans.edu
- Received by editor(s): June 5, 2000
- Received by editor(s) in revised form: September 18, 2000
- Published electronically: August 29, 2001
- Additional Notes: The first author was partially supported by the NSF
- Communicated by: Wolmer V. Vasconcelos
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 661-665
- MSC (1991): Primary 13D40, 13A30, 13H10
- DOI: https://doi.org/10.1090/S0002-9939-01-06113-5
- MathSciNet review: 1866016