We construct a finitely dimensional invariant manifold of holomorphic discsattached to a certain class of smooth pseudconvex hypersurfaces of finite typein $\C^2$, generalizing the notion of stationary discs. The discs we constructare determined by a finite jet at a given boundary point and their centers fillan open set. As a consequence, we obtain a finite jet determination result forthis class of smooth hypersurfaces.
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机译:我们构造了全同态圆盘的一个有限维不变流形,它附接到$ \ C ^ 2 $中的一类有限类型的光滑伪凸超曲面,推广了固定圆盘的概念。我们构造的圆盘是由给定边界点处的有限射流确定的,其圆心是开放集。结果,我们获得了此类光滑超曲面的有限射流确定结果。
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