2012/10/15 by Bertrand, Florian, Blanc-Centi, Léa · 2 citations
#Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.1210.4178
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.