Mathematische Annalen

, Volume 366, Issue 1–2, pp 573–611 | Cite as

Liftable vector fields over corank one multigerms

  • T. NishimuraEmail author
  • R. Oset Sinha
  • M. A. S. Ruas
  • R. Wik Atique


In this paper, a systematic method is given to construct all liftable vector fields over an analytic multigerm \(f:({\mathbb {K}}^n, S)\rightarrow ({\mathbb {K}}^p,0)\) of corank at most one admitting a one-parameter stable unfolding.

Mathematics Subject Classification

Primary 58K40 Secondary 57R45 58K20 



The authors would like to thank the reviewers for appropriate comments. They thank also Mohammed Salim Jbara Al-Bahadeli and Yusuke Mizota for their pointing out careless mistakes in the first draft of this paper.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • T. Nishimura
    • 1
    Email author
  • R. Oset Sinha
    • 2
  • M. A. S. Ruas
    • 3
  • R. Wik Atique
    • 3
  1. 1.Research Group of Mathematical Sciences, Research Institute of Environment and Information SciencesYokohama National UniversityYokohamaJapan
  2. 2.Departament de Geometria i TopologiaUniversitat de ValènciaValènciaSpain
  3. 3.ICMCUniversity of São PauloSão CarlosBrazil

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