Reduction of singularities of three-dimensional line foliations

被引：9

作者：

Cano, F. ^{[1
]}

Roche, C. ^{[1
]}

Spivakovsky, M. ^{[1
]}

机构：

[1] UVa Univ Valladolid, Valladolid, Spain

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2014年 / 108卷 / 01期

关键词：

VECTOR-FIELDS; RESOLUTION; VARIETIES;

D O I：

10.1007/s13398-013-0117-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a birational reduction of singularities for one dimensional foliations in ambient spaces of dimension three. To do this, we first prove the existence of a Local Uniformization in the sense of Zariski. The reduction of singularities is then obtained by a gluing procedure for Local Uniformizations similar to the one used by Zariski.

引用

页码：221 / 258

页数：38

共 20 条

[1]

Bierstone R., 1997, INVENT MATH, V128, P207

[2] ABSOLUTELY ISOLATED SINGULARITIES OF HOLOMORPHIC VECTOR-FIELDS [J].