论文标题
$ \ Mathbb C^n $中多项式模型的不可线Cr自动形态
Nonlinearizable CR automorphisms for polynomial models in $\mathbb C^N$
论文作者
论文摘要
我们在$ \ mathbb c^n $中为真实超曲面的多项式模型进行了分类，该模型接纳了无线化的无限CR自动形态。结果，这在一般情况下提供了最佳的1-JET确定结果。此外，我们证明，这种自动形态是由一个共同来源引起的，它是通过在某些复杂空间中的合适的超质量对称性绘制的，将其拉回。
We classify polynomial models for real hypersurfaces in $\mathbb C^N$, which admit nonlinearizable infinitesimal CR automorphisms. As a consequence, this provides an optimal 1-jet determination result in the general case. Further we prove that such automorphisms arise from one common source, by pulling back via a holomorphic mapping a suitable symmetry of a hyperquadric in some complex space.
