Stationary holomorphic discs glued to a Levi non-degenerate hypersurface
arXiv:math/0612151
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.
arXiv commentfinal version, to appear in Transactions of the American Mathematical Society