Logarithmic forms and non-dicritic foliations

被引：5

作者：

Cerveau, Dominique ^{[1
]}

机构：

[1] Univ Rennes 1, CNRS, Membre Inst Univ Franc, IRMAR,UMR 6625, F-35042 Rennes, France

来源：

JOURNAL OF SINGULARITIES | 2014年 / 9卷

关键词：

logarithmic meromorphic forms; holomorphic foliations;

D O I：

10.5427/jsing.2014.9d

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given an algebraic codimension 1 foliation F on the projective space P-C(n), under reasonable conditions on the nature of the singular set, one has that the degree of any invariant variety is at most d + 2, where d is the degree of F (Carnicer [Car94], Cerveau-Lins-Neto [CLN91]). In this work we study the extreme case where the degree of the foliation attains its upper bound d + 2, so completing results by Brunella [Bru97, CLN91].

引用

页码：50 / 55

页数：6

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