Local polynomial convexity of the unfolded Whitney umbrella in $\mathbb   C^2$
  The paper considers a class of Lagrangian surfaces in $\mathbb C^2$ with isolated singularities of the unfolded Whitney umbrella type. We prove that generically such a surface is locally polynomially convex near a singular point of this kind. 
Rasul Shafikov, Alexandre Sukhov
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