Stationary discs glued to a Levi non-degenerate hypersurface

Blanc-Centi, Léa

doi:10.1090/S0002-9947-08-04737-5

Stationary discs glued to a Levi non-degenerate hypersurface
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Trans. Amer. Math. Soc. 361 (2009), 3223-3239 Request permission

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.

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