Comprehensive Grobner systems in PBW algebras, Bernstein-Sato ideals and holonomic D-modules

被引：5
|
作者：
Nabeshima, Katsusuke [1 ]
Ohara, Katsuyoshi [2 ]
Tajima, Shinichi [3 ]
机构：
[1] Tokushima Univ, Grad Sch Technol Ind & Social Sci, 2-1 Minamijosanjima, Tokushima, Japan
[2] Kanazawa Univ, Fac Math & Phys, Kakuma Machi, Kanazawa, Ishikawa, Japan
[3] Univ Tsukuba, Grad Sch Pure & Appl Sci, 1-1-1 Tennoudai, Tsukuba, Ibaraki, Japan
来源：
JOURNAL OF SYMBOLIC COMPUTATION | 2018年 / 89卷
关键词：
Comprehensive Grbbner systems; Poincare-Birkhoff-Witt algebras; Bernstein-Sato ideals; Holonomic D-modules; LOCAL COHOMOLOGY; B-FUNCTIONS; VANISHING PROXIMITY; POLYNOMIALS; ALGORITHMS; ROOTS; BASES;
D O I：
10.1016/j.jsc.2017.11.010
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
A computation method of comprehensive Grobner systems is introduced in Poincare-Birkhoff-Witt (PBW) algebras and applications to Bernstein-Sato ideals, holonomic D-modules for parametric cases are considered. The proposed method provides in particular holonomic D-modules associated with primary components of Bernstein-Sato ideals. Furthermore, with our implementation, effective methods are illustrated for computing b-functions of mu-constant deformations of hypersurface isolated singularities by utilizing holonomic D-modules. High versatility of the proposed method is also illustrated by several examples. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：146 / 170
页数：25
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