English

Local polynomial convexity of the unfolded Whitney umbrella in $\mathbb C^2$

Complex Variables 2012-08-24 v2 Dynamical Systems Symplectic Geometry

Abstract

The paper considers a class of Lagrangian surfaces in C2\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.

Keywords

Cite

@article{arxiv.1106.4272,
  title  = {Local polynomial convexity of the unfolded Whitney umbrella in $\mathbb C^2$},
  author = {Rasul Shafikov and Alexandre Sukhov},
  journal= {arXiv preprint arXiv:1106.4272},
  year   = {2012}
}

Comments

26 pages, 7 figures, to appear in IMRN