On non-Kupka points of codimension one foliations on P3

被引：2

作者：

Calvo-Andrade, Omegar ^{[1
]}

Correa, Mauricio ^{[2
]}

Fernandez-Perez, Arturo ^{[2
]}

机构：

[1] CIMAT, Ctr Invest Matemat, AC Jalisco S-N, Guanajuato 36023, Gto, Mexico

[2] Univ Fed Minas Gerais, Dept Matemat, Av Antonio Carlos 6627, BR-31270901 Belo Horizonte, MG, Brazil

来源：

ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS | 2016年 / 88卷 / 04期

基金：

巴西圣保罗研究基金会;

关键词：

holomorphic foliations; Kupka sets; non-Kupka points; ONE HOLOMORPHIC FOLIATIONS; SINGULARITIES; COMPONENT; THEOREM;

D O I：

10.1590/0001-3765201620160013

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We study the singular set of a codimension one holomorphic foliation on P-3. We find a local normal form for these foliations near a codimension two component of the singular set that is not of Kupka type. We also determine the number of non-Kupka points immersed in a codimension two component of the singular set of a codimension one foliation on P-3.

引用

页码：2067 / 2080

页数：14

共 18 条

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