Unfoldings of meromorphic functions

DOI10.1007/BF01455312zbMath0491.58009MaRDI QIDQ1167462

Tatsuo Suwa

Publication date: 1983

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163701

zbMATH Keywords

versality theoremuniversal unfoldingclosed holomorphic 1- formsunfoldings of codim 1 local foliationsunfoldings of meromorphic functions

Mathematics Subject Classification ID

Differential forms in global analysis (58A10) Foliations in differential topology; geometric theory (57R30) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Deformations of analytic structures (32G99)

Related Items (7)

Poisson structure of dynamical systems with three degrees of freedom ⋮ Rational pullbacks of toric foliations ⋮ Families and unfoldings of singular holomorphic Lie Algebroids ⋮ Unfoldings and deformations of rational and logarithmic foliations ⋮ On the geometry of the singular locus of a codimension one foliation in \(\mathbb P^n\) ⋮ Unfoldings of foliations with multiform first integrals ⋮ Milnor number of pairs and pencils of plane holomorphic germs

Cites Work

• Unnamed Item
• Unnamed Item
• Kupka-Reeb phenomena and universal unfoldings of certain foliation singularities
• A theorem of versality for unfoldings of complex analytic foliation singularities
• On a generalization of de Rham lemma
• Frobenius avec singularites. I: Codimension un
• Unfoldings of foliations with multiform first integrals
• Stability of unfoldings
• Holonomie et intégrales premières

This page was built for publication: Unfoldings of meromorphic functions