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A factorization theorem for unfoldings of analytic functions
Title:  A factorization theorem for unfoldings of analytic functions 
Authors:  Suwa, Tatsuo Browse this author 
Keywords:  53xx DIFFERENTIAL GEOMETRY 
Issue Date:  Jul1987 
Journal Title:  Hokkaido University Preprint Series in Mathematics 
Volume:  8 
Start Page:  2 
End Page:  10 
Abstract:  Let f and g be holomorphic function germs at 0 in C n x c l = {(x,s)} If dxg ∧ dxf = O and if f(x) = f(x,O) is not a power or a unit, then there exists a germ λ at O in C x C l such that g(x,s) = λ(f(x,s),s) . The result has the implication that the notion of an RLmorphism in the unfolding theory of foliation germs generalizes that of a rightleft morphism in the function germ case. The notion of an RLmorphism in the unfolding theory of foliation singularities was introduced in [5] to describe the determinacy results and in [6] the versality theorem for these morphisms is proved. This note, which should be considered as an appendix to [5] or [6], contains a factorization theorem implying that an RLmorphism is a generalization of a rightleft morphism in the unfolding theory of function germs. It depends on the MatteiMoussu factorization theorem ([1]) and is a generalization of a result of Moussu [2]. 
Type:  bulletin (article) 
URI:  http://eprints3.math.sci.hokudai.ac.jp/904/  http://hdl.handle.net/2115/45526 
Appears in Collections:  理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用
