Determinacy of complex analytic foliation germs without integrating factors
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- by Dominique Cerveau and Tatsuo Suwa PDF
- Proc. Amer. Math. Soc. 112 (1991), 989-997 Request permission
Abstract:
It is shown that for a codimension 1 foliation germ without formal integrating factors, the finiteness of the dimension of the space of isomorphism classes of first order unfoldings implies its local finite determinacy. An effective estimate of the order of determinacy is given for general foliation germs in dimension 2. A simple proof for the stability of a foliation germ defined by a simple form in dimension 3 is also included.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 112 (1991), 989-997
- MSC: Primary 32L30; Secondary 58C27
- DOI: https://doi.org/10.1090/S0002-9939-1991-1072331-0
- MathSciNet review: 1072331