Asymptotic behavior of reduction numbers
Author:
Lê Tuân Hoa
Journal:
Proc. Amer. Math. Soc. 130 (2002), 3151-3158
MSC (1991):
Primary 13A15
DOI:
https://doi.org/10.1090/S0002-9939-02-06440-7
Published electronically:
April 17, 2002
MathSciNet review:
1912991
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: It is shown that the reduction number and the big reduction number of are linear functions of
for all large
. Here
is a homogeneous ideal of a polynomial ring
.
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Additional Information
Lê Tuân Hoa
Affiliation:
Institute of Mathematics, Box 631, Bò Hô, 10000 Hanoi, Vietnam
Email:
lthoa@thevinh.ncst.ac.vn
DOI:
https://doi.org/10.1090/S0002-9939-02-06440-7
Keywords:
Reduction number,
Castelnuovo-Mumford regularity
Received by editor(s):
March 23, 2001
Received by editor(s) in revised form:
June 5, 2001
Published electronically:
April 17, 2002
Additional Notes:
The author was supported by the National Basic Research Program (Vietnam) and University of Essen (Germany)
Communicated by:
Wolmer V. Vasconcelos
Article copyright:
© Copyright 2002
American Mathematical Society