A Global Stability Theorem for Transversely Holomorphic Foliations

Author: Brunella M.

Source: Annals of Global Analysis and Geometry, Volume 15, Number 2, April 1997 , pp. 179-186(8)

Publisher: Springer

Abstract:

We prove a global stability theorem for transversely holomorphic foliations of complex codimension one: if there exists a compact leaf with finite holonomy, then the foliation is a Seifert fibration (that is, every leaf is compact and has finite holonomy).

Keywords: compact leaves; foliations; holomorphic foliations; stability theorems

Language: English

Document Type: Regular paper

Affiliations: 1: Laboratoire de Topologie, CNRS UMR 5584, Université de Bourgogne, BP 400, 21011 Dijon, France

Publication date: 1997-04-01

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