Determinacy of Complex Analytic Foliation Germs without Integrating Factors

DOI10.2307/2048644zbMath0732.32011OpenAlexW196889585MaRDI QIDQ3359028

Tatsuo Suwa, Dominique Cerveau

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2048644

zbMATH Keywords

stabilityunfoldingholomorphic 1-formfoliation germlocal finite determinacy

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Deformations of complex singularities; vanishing cycles (32S30) Theory of singularities and catastrophe theory (58K99) Local complex singularities (32S05) Differentiable maps on manifolds (58C25) Deformations of special (e.g., CR) structures (32G07)

Cites Work

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• Problèmes de modules pour les formes différentielles singulières dans le plan complexe. (Moduli problems for singular differential forms in the complex plane)
• A theorem of versality for unfoldings of complex analytic foliation singularities
• The topology on integrable differential forms near a singularity
• A Factorization Theorem for Unfoldings of Analytic Functions

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