Unfoldings of foliations with multiform first integrals

DOI10.5802/aif.932zbMath0504.57013OpenAlexW2335217125MaRDI QIDQ1836196

Tatsuo Suwa

Publication date: 1983

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1983__33_3_99_0

zbMATH Keywords

complex codim 1 local foliationfoliations with holomorphic or meromorphic first integralsunfolding theory for the multiform functionunfoldings of foliations

Mathematics Subject Classification ID

Foliations in differential topology; geometric theory (57R30) Holomorphic bundles and generalizations (32L05) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Dynamical systems and ergodic theory (37-XX) Deformations of special (e.g., CR) structures (32G07)

Related Items (5)

Rational pullbacks of toric foliations ⋮ Families and unfoldings of singular holomorphic Lie Algebroids ⋮ Unfoldings of meromorphic functions ⋮ Unfoldings and deformations of rational and logarithmic foliations ⋮ On the geometry of the singular locus of a codimension one foliation in \(\mathbb P^n\)

Cites Work

• Kupka-Reeb phenomena and universal unfoldings of certain foliation singularities
• A theorem of versality for unfoldings of complex analytic foliation singularities
• Unfoldings of meromorphic functions
• Holonomie et intégrales premières
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