A theorem of versality for unfoldings of complex analytic foliation singularities

DOI10.1007/BF01389293zbMath0487.32016MaRDI QIDQ1165361

Tatsuo Suwa

Publication date: 1981

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142838

zbMATH Keywords

deformationslocal foliationfoliations with singularitiesinfinitesimally versal unfolding

Mathematics Subject Classification ID

Foliations in differential topology; geometric theory (57R30) Deformations of complex singularities; vanishing cycles (32S30) Formal methods and deformations in algebraic geometry (14D15) Deformations of special (e.g., CR) structures (32G07)

Related Items (7)

[https://portal.mardi4nfdi.de/wiki/Publication:5285710 D�ploiements non dicritiques des formes diff�rentielles holomorphesA dx+B dy] ⋮ Determinacy of Complex Analytic Foliation Germs without Integrating Factors ⋮ Isotrivial unfoldings and structural theorems for foliations on projective spaces ⋮ Families and unfoldings of singular holomorphic Lie Algebroids ⋮ Unfoldings of meromorphic functions ⋮ Unfoldings of foliations with multiform first integrals ⋮ A Factorization Theorem for Unfoldings of Analytic Functions

Cites Work

• Kupka-Reeb phenomena and universal unfoldings of certain foliation singularities
• On a generalization of de Rham lemma
• Frobenius avec singularites. I: Codimension un
• Frobenius avec singularites. II: Le cas général
• Intégrales premieres d'une forme de Pfaff analytique
• A theorem of completeness for complex analytic fibre spaces
• On the versal deformation of a complex space with an isolated singularity
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