Stationary Holomorphic Discs and Finite Jet Determination Problems

نویسنده

  • FLORIAN BERTRAND
چکیده

We construct a family of small analytic discs attached to Levi non-degenerate hypersurfaces in Cn+1, which is globally biholomorphically invariant. We then apply this technique to study unique determination problems along Levi non-degenerate hypersurfaces that are merely of class C4. This method gives 2-jet determination results for germs of biholomorphisms, CR diffeomorphisms, as well as in the almost complex setting.

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تاریخ انتشار 2013