On an $n$-manifold in $\mathbf{C}^n$ near an elliptic complex tangent

@article{Huang1998OnA,
  title={On an \$n\$-manifold in \$\mathbf\{C\}^n\$ near an elliptic complex tangent},
  author={Xiaojun Huang},
  journal={Journal of the American Mathematical Society},
  year={1998},
  volume={11},
  pages={669-692}
}
  • Xiaojun Huang
  • Published 1 July 1998
  • Mathematics
  • Journal of the American Mathematical Society
In this paper, we will be concerned with the local biholomorphic properties of a real n-manifold M in C. At a generic point, such a manifold basically has the nature of the standard R in C. Near a complex tangent, however, the consideration can be much more complicated and the manifold may acquire a nontrivial local hull of holomorphy and many other biholomorphic invariants. The study of such a problem was first carried out in a celebrated paper of E. Bishop [BIS] where, for each sufficiently… 
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