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On Burch's inequality and a reduction system of a filtration
Authors:
Y. Kinoshita, K. Nishida, Y. Yamanaka and A. Yoneda
Journal:
Proc. Amer. Math. Soc. 134 (2006), 3437-3444
MSC (2000):
Primary 13A02, 13A30
Posted:
June 9, 2006
MathSciNet review:
2240653
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Abstract: Let  be a multiplicative filtration of a local ring such that the Rees algebra  is Noetherian. We recall Burch's inequality for  and give an upper bound of the a-invariant of the associated graded ring  using a reduction system of  . Applying those results, we study the symbolic Rees algebra of certain ideals of dimension  .
References
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Additional Information
Y. Kinoshita
Affiliation:
Division of Mathematical Sciences and Physics, School of Science and Technology, Chiba University, 263-8522, Japan
K. Nishida
Affiliation:
Division of Mathematical Sciences and Physics, School of Science and Technology, Chiba University, 263-8522, Japan
Email:
nishida@math.s.chiba-u.ac.jp
Y. Yamanaka
Affiliation:
Division of Mathematical Sciences and Physics, School of Science and Technology, Chiba University, 263-8522, Japan
A. Yoneda
Affiliation:
Division of Mathematical Sciences and Physics, School of Science and Technology, Chiba University, 263-8522, Japan
DOI:
http://dx.doi.org/10.1090/S0002-9939-06-08429-2
PII:
S 0002-9939(06)08429-2
Keywords:
Multiplicative filtration,
Rees algebra,
associated graded ring
Received by editor(s):
April 22, 2004
Received by editor(s) in revised form:
July 1, 2005
Posted:
June 9, 2006
Additional Notes:
The second author was supported by the Grant-in-Aid for Scientific Researches in Japan (C) (2) No. 15540009
Communicated by:
Bernd Ulrich
Article copyright:
© Copyright 2006 American Mathematical Society
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