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Codimension two holomorphic foliation
Journal of Differential Geometry ( IF 1.3 ) Pub Date : 2019-11-15 , DOI: 10.4310/jdg/1573786970
Dominique Cerveau 1 , A. Lins Neto 2
Affiliation  

This paper is devoted to the study of codimension two holomorphic foliations and distributions. We prove the stability of complete intersection of codimension two distributions and foliations in the local case. Conversely we show the existence of codimension two foliations which are not contained in any codimension one foliation. We study problems related to the singular locus and we classify homogeneous foliations of small degree.

中文翻译:

余维二全同叶

本文致力于研究二维全同叶和分布的共维性。我们证明了在局部情况下余维两个分布和叶的完全交集的稳定性。相反地​​,我们表明存在余量两个叶面,这些均不包含在任何余量一个叶面中。我们研究与奇异轨迹有关的问题,并对小角度的均质叶面进行分类。
更新日期:2019-11-15
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