Logarithmic forms and non-dicritic foliations

被引：6
|
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
收藏
页码：50 / 55
页数：6
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