Lyubeznik resolutions and the arithmetical rank of monomial ideals
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- by Kyouko Kimura PDF
- Proc. Amer. Math. Soc. 137 (2009), 3627-3635 Request permission
Abstract:
In this paper, we prove that the length of a Lyubeznik resolution of a monomial ideal gives an upper bound for the arithmetical rank of the ideal.References
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Additional Information
- Kyouko Kimura
- Affiliation: Graduate School of Mathematics, Nagoya University, Nagoya 464-8602, Japan
- Address at time of publication: Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Toyonaka, Osaka 560-0043, Japan
- Email: m04012w@math.nagoya-u.ac.jp, kimura@math.sci.osaka-u.ac.jp
- Received by editor(s): December 1, 2008
- Received by editor(s) in revised form: February 26, 2009
- Published electronically: June 9, 2009
- Communicated by: Bernd Ulrich
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 3627-3635
- MSC (2000): Primary 13E15; Secondary 13D02
- DOI: https://doi.org/10.1090/S0002-9939-09-09950-X
- MathSciNet review: 2529869