Castelnuovo-Mumford regularity of initial ideals

被引:6
作者
Hoa, LT
Hyry, E
机构
[1] Univ Helsinki, Dept Math, FIN-00014 Helsinki, Finland
[2] Inst Math, Hanoi 10307, Vietnam
基金
芬兰科学院;
关键词
Castelnuovo-Mumford regularity; initial ideal; Hilbert polynomial; Hilbert function;
D O I
10.1016/j.jsc.2004.04.001
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
A bound is given for the Castelnuovo-Mumford regularity of initial ideals of a homogeneous ideal in a polynomial ring over an infinite field of any characteristic. The bound depends neither on term orders nor on the coordinates. If the ideal is perfect, then a much better bound is also provided. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1327 / 1341
页数:15
相关论文
共 15 条
[1]   A CRITERION FOR DETECTING M-REGULARITY [J].
BAYER, D ;
STILLMAN, M .
INVENTIONES MATHEMATICAE, 1987, 87 (01) :1-11
[2]   ON THE COMPLEXITY OF COMPUTING SYZYGIES [J].
BAYER, D ;
STILLMAN, M .
JOURNAL OF SYMBOLIC COMPUTATION, 1988, 6 (2-3) :135-147
[3]  
Bayer D., 1993, S MATH, VXXXIV, P1
[4]  
Blancafort C, 1998, J PURE APPL ALGEBRA, V125, P55
[5]  
CAVIGLIA G, 2003, ARXIVMATHAC0310122V1
[6]   Regularity of lex-segment ideals:: Some closed formulas and applications [J].
Chardin, M ;
Moreno-Socías, G .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (04) :1093-1102
[7]  
GIUSTI M, 1991, LECT NOTES COMPUT SC, V508, P322
[8]  
GIUSTI M, 1984, LECT NOTES COMPUT SC, V174, P159
[9]   CONDITION FOR FLATNESS AND HILBERT POLYNOMIAL OF GRADUATED RING [J].
GOTZMANN, G .
MATHEMATISCHE ZEITSCHRIFT, 1978, 158 (01) :61-70
[10]  
GREEN M, 1989, LECT NOTES MATH, V1389, P76