Newton filtrations, graded algebras and codimension of non-degenerate ideals

被引：23

作者：

Bivià-Ausina, C

Fukui, T

Saia, MJ

机构：

[1] Univ Valencia, Dept Geometria & Topol, E-46100 Burjassot, Valencia, Spain

[2] Saitama Univ, Fac Sci, Dept Math, Urawa, Saitama 3388570, Japan

[3] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat, BR-13560970 Sao Carlos, SP, Brazil

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2002年 / 133卷

关键词：

D O I：

10.1017/S0305004102005911

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate a generalization of the method introduced by, Kouchnirenko to compute the codimension (colength) of an ideal under a certain non-degeneracy condition on a given system of generators of I. We also discuss Newton non-degenerate ideals and give characterizations using the notion of reductions and Newton polyhedra of ideals.

引用

页码：55 / 75

页数：21

共 24 条

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