Location of Repository

doi:10.1093/imrn/rnp033 A Codimension Two CR Singular Submanifold That Is Formally Equivalent to a Symmetric Quadric

By Xiaojun Huang and Wanke Yin

Abstract

Let M ⊂ Cn+1 (n ≥ 2) be a real analytic submanifold defined by an equation of the form: w =|z | 2 + O(|z | 3), where we use (z, w) ∈ Cn × C for the coordinates of Cn+1. We first derive a pseudonormal form for M near 0. We then use it to prove that (M, 0) is holomorphically equivalent to the quadric (M ∞ : w =|z | 2, 0) if and only if it can be formally transformed to (M∞, 0). We also use it to give a necessary and sufficient condition when (M, 0) can be formally flattened. Our main theorem generalizes a classical result of Moser for the case of n = 1. Downloaded fro

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.308.8091
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://www.math.rutgers.edu/~h... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.