On transfer of biholomorphisms across nonminimal loci
Complex Variables
2013-11-21 v1
Abstract
A connected real analytic hypersurface M in C^(n+1) whose Levi form is nondegenerate in at least one point - hence at every point of some Zariski-open subset - is locally biholomorphic to the model Heisenberg quadric pseudosphere of signature (k, n-k) in one point if and only if, at every other Levi nondegenerate point, it is also locally biholomorphic to some Heisenberg pseudosphere, possibly having different signature (l, n-l).
Keywords
Cite
@article{arxiv.1311.5195,
title = {On transfer of biholomorphisms across nonminimal loci},
author = {Joel Merker},
journal= {arXiv preprint arXiv:1311.5195},
year = {2013}
}
Comments
12 pages, reproving and generalizing a bit a recent theorem of Kossovskiy-Shafikov according to a suggestion of Beloshapka