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Evaluations of initial ideals and Castelnuovo-Mumford regularity
Author(s):
Ngô
Viêt
Trung
Journal:
Proc. Amer. Math. Soc.
130
(2002),
1265-1274.
MSC (1991):
Primary 13D02, 13P10
Posted:
October 5, 2001
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Abstract:
This paper characterizes the Castelnuovo-Mumford regularity by evaluating the initial ideal with respect to the reverse lexicographic order.
References:
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Additional Information:
Ngô
Viêt
Trung
Affiliation:
Institute of Mathematics, Box 631, Bò Hô, Hanoi, Vietnam
Email:
nvtrung@hn.vnn.vn
DOI:
10.1090/S0002-9939-01-06216-5
PII:
S 0002-9939(01)06216-5
Keywords:
Castelnuovo-Mumford regularity,
reduction number,
filter-regular sequence,
initial ideal,
evaluation
Received by editor(s):
May 19, 2000
Received by editor(s) in revised form:
October 29, 2000
Posted:
October 5, 2001
Additional Notes:
The author was partially supported by the National Basic Research Program of Vietnam.
Communicated by:
Wolmer V. Vasconcelos
Copyright of article:
Copyright
2001,
American Mathematical Society
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