Stationary holomorphic discs glued to a Levi non-degenerate hypersurface

Details Stationary holomorphic discs glued to a Levi non-degenerate hypersurface Stationary holomorphic discs glued to a Levi non-degenerate hypersurface

2006-12-06

arxiv.org/abs/math/0612151v2

Mathematics

Complex Variables

final version, to appear in Transactions of the American Mathematical Society

Scientific paper

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.

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