Open Access
November 2019 Codimension two holomorphic foliation
Dominique Cerveau, A. Lins Neto
Author Affiliations +
J. Differential Geom. 113(3): 385-416 (November 2019). DOI: 10.4310/jdg/1573786970

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.

Citation

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Dominique Cerveau. A. Lins Neto. "Codimension two holomorphic foliation." J. Differential Geom. 113 (3) 385 - 416, November 2019. https://doi.org/10.4310/jdg/1573786970

Information

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

zbMATH: 07130527
MathSciNet: MR4031739
Digital Object Identifier: 10.4310/jdg/1573786970

Subjects:
Primary: 34M15 , 37F75

Keywords: holomorphic foliation

Rights: Copyright © 2019 Lehigh University

Vol.113 • No. 3 • November 2019
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