Stationary discs for smooth hypersurfaces of finite type and finite jet determination

Florian Bertrand; Giuseppe Della Sala

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arXiv · 1307.8364

Stationary discs for smooth hypersurfaces of finite type and finite jet determination

Florian Bertrand·Giuseppe Della Sala

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Abstract

We construct a finitely dimensional invariant manifold of holomorphic discs attached to a certain class of smooth pseudconvex hypersurfaces of finite type in $\C^2$, generalizing the notion of stationary discs. The discs we construct are determined by a finite jet at a given boundary point and their centers fill an open set. As a consequence, we obtain a finite jet determination result for this class of smooth hypersurfaces.

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Florian Bertrand, Giuseppe Della Sala. 2013-07-31. Stationary discs for smooth hypersurfaces of finite type and finite jet determination. https://arxiv.org/abs/1307.8364

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