Effective computation of base points of ideals in two-dimensional local rings

被引：2

作者：

Alberich-Carraminana, Maria ^{[1
]}

Alvarez Montaner, Josep ^{[1
]}

Blanco, Guillem ^{[1
]}

机构：

[1] Univ Politecn Cataluna, BarcelonaTech, Dept Matemat, Av Diagonal 647, E-08028 Barcelona, Spain

来源：

JOURNAL OF SYMBOLIC COMPUTATION | 2019年 / 92卷

关键词：

Minimal log-resolution; Weighted clusters; Newton-Puiseux algorithm;

D O I：

10.1016/j.jsc.2018.01.001

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We provide an algorithm that allows to describe the minimal log-resolution of an ideal in a smooth complex surface from the minimal log-resolution of its generators. In order to make this algorithm effective we present a modified version of the Newton-Puiseux algorithm that computes the Puiseux decomposition of a product of not necessarily reduced or irreducible elements together with their algebraic multiplicity in each factor. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：93 / 109

页数：17

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