Stratification of the space of foliations on CP2

被引：3
|
作者：
Alcantara, Claudia R. [1 ]
机构：
[1] Univ Guanajuato, Dept Matemat, Guanajuato 36000, Gto, Mexico
来源：
JOURNAL OF SYMBOLIC COMPUTATION | 2016年 / 72卷
关键词：
Holomorphic foliation; Degenerate singular point; Stratification; INSTABILITY;
D O I：
10.1016/j.jsc.2015.02.003
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We describe an algorithm for constructing an algebraic stratification of the space of holomorphic foliations on CP2 of degree d with respect to the action of Aut(CP2) by change of coordinates. The strata are non-singular, locally-closed algebraic varieties. We show that these varieties parameterize foliations with certain type of degenerate singular points. We give the explicit form of the foliation in some strata. We also obtain the dimension of these varieties. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：147 / 160
页数：14
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