Lyubeznik resolutions and the arithmetical rank of monomial ideals

Author:
Kyouko Kimura

Journal:
Proc. Amer. Math. Soc. **137** (2009), 3627-3635

MSC (2000):
Primary 13E15; Secondary 13D02

Published electronically:
June 9, 2009

MathSciNet review:
2529869

Full-text PDF Free Access

Abstract | References | Similar Articles | 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:
https://doi.org/10.1090/S0002-9939-09-09950-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

Published electronically:
June 9, 2009

Communicated by:
Bernd Ulrich

Article copyright:
© Copyright 2009
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.