The computation of the logarithmic cohomology for plane curves

被引:1
作者
Castro-Jimenez, Francisco-Jesus [2 ]
Takayama, Nobuki [1 ]
机构
[1] Kobe Univ, Dept Math, Kobe, Hyogo 657, Japan
[2] Univ Seville, Dept Math, Seville, Spain
关键词
Algebraic geometry; Grobner basis; Logarithmic cohomology groups; Curves; D-modules; D-MODULES; FREE DIVISOR; ALGORITHMS; COMPLEMENT; PRODUCT; THEOREM;
D O I
10.1016/j.jalgebra.2009.03.039
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We will give algorithms of computing bases of logarithmic cohomology groups for square-free polynomials in two variables. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码:3839 / 3851
页数:13
相关论文
共 22 条
[1]   Logarithmic differential operators and logarithmic de Rham complexes relative to a free divisor [J].
Calderón-Moreno, FJ .
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 1999, 32 (05) :701-714
[2]   Cohomology of the complement of a free divisor [J].
Castro-Jiménez, FJ ;
NarvaezMacarro, L ;
Mond, D .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 348 (08) :3037-3049
[3]   Testing the logarithmic comparison theorem for free divisors [J].
Castro-Jiménez, FJ ;
Ucha-Enríquez, JM .
EXPERIMENTAL MATHEMATICS, 2004, 13 (04) :441-449
[4]   Explicit comparison theorems for D-modules [J].
Castro-Jiménez, FJ ;
Ucha-Enríquez, JM .
JOURNAL OF SYMBOLIC COMPUTATION, 2001, 32 (06) :677-685
[5]  
Eisenbud D., 1995, COMMUTATIVE ALGEBRA
[6]  
Fabianska Anna., QuillenSuslin package for Maple
[7]  
Leykin A, 1999, D MODULES MACAULAY 2
[8]   ALGORITHMS FOR THE QUILLEN-SUSLIN THEOREM [J].
LOGAR, A ;
STURMFELS, B .
JOURNAL OF ALGEBRA, 1992, 145 (01) :231-239
[9]  
Matsumura H., 1986, COMMUTATIVE RING THE, VVol 8
[10]  
MEBKHOUT Z, 1989, TRAVAUX COURS, V35