Liftable vector fields over corank one multigerms
  In this paper, a systematic method is given to construct all liftable vector fields over an analytic multigerm $f: (\mathbb{K}^n, S)\to (\mathbb{K}^p,0)$ of corank at most one admitting a one-parameter stable unfolding. 
T. Nishimura, R. Oset Sinha, M. A. S. Ruas and R. Wik Atique
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