Journal of Differential Geometry

Codimension two holomorphic foliation

Dominique Cerveau and A. Lins Neto

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Abstract

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.

Article information

Source
J. Differential Geom., Volume 113, Number 3 (2019), 385-416.

Dates
Received: 12 September 2016
First available in Project Euclid: 15 November 2019

Permanent link to this document
https://projecteuclid.org/euclid.jdg/1573786970

Digital Object Identifier
doi:10.4310/jdg/1573786970

Subjects
Primary: 34M15: Algebraic aspects (differential-algebraic, hypertranscendence, group- theoretical) 37F75: Holomorphic foliations and vector fields [See also 32M25, 32S65, 34Mxx]

Keywords
holomorphic foliation

Citation

Cerveau, Dominique; Neto, A. Lins. Codimension two holomorphic foliation. J. Differential Geom. 113 (2019), no. 3, 385--416. doi:10.4310/jdg/1573786970. https://projecteuclid.org/euclid.jdg/1573786970


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