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Lyubeznik resolutions and the arithmetical rank of monomial ideals
Author(s):
Kyouko
Kimura
Journal:
Proc. Amer. Math. Soc.
137
(2009),
3627-3635.
MSC (2000):
Primary 13E15;
Secondary 13D02
Posted:
June 9, 2009
MathSciNet review:
2529869
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Additional information
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.
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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
DOI:
10.1090/S0002-9939-09-09950-X
PII:
S 0002-9939(09)09950-X
Keywords:
Lyubeznik resolution,
$L$-admissible,
$L$-length,
arithmetical rank
Received by editor(s):
December 1, 2008,
Received by editor(s) in revised form:
February 26, 2009
Posted:
June 9, 2009
Communicated by:
Bernd Ulrich
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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