STABILITY OF LOGARITHMIC DIFFERENTIAL ONE-FORMS

被引：6

作者：

Cukierman, Fernando ^{[1
,2
]}

Gargiulo Acea, Javier ^{[1
,2
]}

Massri, Cesar ^{[2
,3
]}

机构：

[1] Univ Buenos Aires, Ayacucho 1245, Buenos Aires, DF, Argentina

[2] Consejo Nacl Invest Cient & Tecn, Godoy Crus 2290, Buenos Aires, DF, Argentina

[3] Univ CAECE, Av Maya 866,C1038AAK, Buenos Aires, DF, Argentina

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 371卷 / 09期

关键词：

HOLOMORPHIC FOLIATIONS; IRREDUCIBLE COMPONENTS; SPACE;

D O I：

10.1090/tran/7443

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article deals with the irreducible components of the space of codimension one foliations in a projective space defined by logarithmic forms of a certain degree. We study the geometry of the natural parametrization of the logarithmic components and we give a new proof of the stability of logarithmic foliations, obtaining also that these irreducible components are reduced.

引用

页码：6289 / 6308

页数：20

共 16 条

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