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arXiv · 1210.4178

Stationary holomorphic discs and finite jet determination problems

Florian Bertrand·Léa Blanc-Centi
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Abstract

We construct a family of small analytic discs attached to Levi non-degenerate hypersurfaces in $\mathbb{C}^{n+1}$, 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 $\mathcal{C}^4$. 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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Florian Bertrand, Léa Blanc-Centi. 2012-10-15. Stationary holomorphic discs and finite jet determination problems. https://arxiv.org/abs/1210.4178

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