ALGORITHMS FOR THE QUILLEN-SUSLIN THEOREM

被引:57
作者
LOGAR, A [1 ]
STURMFELS, B [1 ]
机构
[1] CORNELL UNIV,DEPT MATH,ITHACA,NY 14853
关键词
D O I
10.1016/0021-8693(92)90189-S
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give an algorithm for computing a free basis of a projective C[x1,...xn,-module which is presented as the image, kernel, or cokernel of a polynomial matrix. Our method can be implemented using Gröbner bases, and it provides an elementary, constructive proof of the Quillen-Suslin theorem. © 1992.
引用
收藏
页码:231 / 239
页数:9
相关论文
共 13 条
[1]  
Bayer D., 1982, THESIS HARVARD U
[2]  
BILLERA LJ, IN PRESS MATH Z
[3]  
BUCHBERGER B, 1985, MULTIDIMENSIONAL SYS, pCH 6
[4]  
FITCHAS N, 1988, ASPECTOS ALGORITMICO
[5]  
FITCHAS N, 1989, SEMINAIRE STRUCTURES
[6]  
Grobner W., 1970, HOCHSCHULTASCHENBUCG
[7]  
KUNZ E, 1985, INTRO COMMUNATIVE AL
[8]  
LAM TY, 1978, LECTURE NOTES MATH, V635
[9]  
LOGA A, 1988, P AAECC, V357, P259
[10]   COMPUTATIONAL ASPECTS OF THE COORDINATE RING OF AN ALGEBRAIC VARIETY [J].
LOGAR, A .
COMMUNICATIONS IN ALGEBRA, 1990, 18 (08) :2641-2662