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On Faltings' annihilator theorem
Author(s):
Takesi
Kawasaki
Journal:
Proc. Amer. Math. Soc.
136
(2008),
1205-1211.
MSC (1991):
Primary 13D45;
Secondary 13C15, 14B15
Posted:
November 23, 2007
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Abstract:
In the present article, the author shows that Faltings' annihilator theorem holds for any Noetherian ring  if  is universally catenary; all the formal fibers of all the localizations of  are Cohen-Macaulay; and the Cohen-Macaulay locus of each finitely generated  -algebra is open.
References:
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Additional Information:
Takesi
Kawasaki
Affiliation:
Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji, Tokyo 192-0397, Japan
Email:
kawasaki@tmu.ac.jp
DOI:
10.1090/S0002-9939-07-09128-9
PII:
S 0002-9939(07)09128-9
Keywords:
Annihilators of local cohomologies,
Cousin complex,
Artin-Rees theorem,
Brian\c{c}on-Skoda theorem
Received by editor(s):
September 15, 2006
Received by editor(s) in revised form:
January 11, 2007
Posted:
November 23, 2007
Additional Notes:
This work was supported by the Japan Society for the Promotion of Science (the Grant-in-Aid for Scientific Researches (C)(2)~16540032)
Dedicated:
Dedicated to Professor Shiro Goto on the occasion of his sixtieth birthday
Communicated by:
Bernd Ulrich
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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