Tangent cone algorithm for homogenized differential operators

被引：7

作者：

Granger, M

Oaku, T ^{[1
]}

Takayama, N

机构：

[1] Tokyo Womans Christian Univ, Dept Math, Suginami Ku, Tokyo 1678585, Japan

[2] Univ Angers, F-49045 Angers, France

[3] Kobe Univ, Dept Math, Kobe, Hyogo 6578501, Japan

来源：

JOURNAL OF SYMBOLIC COMPUTATION | 2005年 / 39卷 / 3-4期

关键词：

tangent cone algorithm; division; standard base; Grobner base; differential operator; D-module;

D O I：

10.1016/j.jsc.2004.11.011

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We extend Mora's tangent cone or the ecart division algorithm to a homogenized ring of differential operators. This allows us to compute standard bases of modules over the ring of analytic differential operators with respect to sufficiently general orderings which are needed in the D-module theory. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：417 / 431

页数：15

共 11 条

[1]

[Anonymous], 1998, USING ALGEBRAIC GEOM, DOI DOI 10.1007/978-1-4757-6911-1

[2] The analytic standard fan of a D-module [J].