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Asymptotic behavior of reduction numbers
Author(s):
Lê
Tuân
Hoa
Journal:
Proc. Amer. Math. Soc.
130
(2002),
3151-3158.
MSC (1991):
Primary 13A15
Posted:
April 17, 2002
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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  .
References:
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- H. Bresinsky and L. T. Hoa, On the reduction number of some graded algebras, Proc. Amer. Math. Soc. 127(1999), 1257-1263. MR 99h:13027
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- J. Herzog, L. T. Hoa and N. V. Trung, Asymptotic linear bounds for the Castelnuovo-Mumford regularity, Trans. Amer. Math. Soc. (to appear).
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- L. T. Hoa, Reduction numbers and Rees algebras of powers of an ideal, Proc. Amer. Math. Soc. 119(1993), 415-422. MR 93k:13009
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- N. V. Trung, Reduction exponent and degree bound for the defining equations of graded rings, Proc. Amer. Math. Soc. 101(1987), 229-236. MR 89i:13031
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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:
10.1090/S0002-9939-02-06440-7
PII:
S 0002-9939(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
Posted:
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
Copyright of article:
Copyright
2002,
American Mathematical Society
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