Stationary holomorphic discs glued to a Levi non-degenerate hypersurface
Complex Variables
2012-10-19 v2 Differential Geometry
Abstract
We obtain an explicit parametrization of stationary discs glued to some Levi non-degenerate hypersurfaces. These discs form a family which is invariant under the action of biholomorphisms. We use this parametrization to construct a local circular representation of these hypersurfaces. As a corollary, we get the uniqueness of biholomorphisms with given 1-jet at some convenient point.
Keywords
Cite
@article{arxiv.math/0612151,
title = {Stationary holomorphic discs glued to a Levi non-degenerate hypersurface},
author = {Léa Blanc-Centi},
journal= {arXiv preprint arXiv:math/0612151},
year = {2012}
}
Comments
final version, to appear in Transactions of the American Mathematical Society