Characterization of real-analytic infinitesimal CR automorphisms for a class of hypersurfaces in $\Bbb C^4.$
Complex Variables
2023-05-16 v1
Abstract
In this paper, motivated by the work of Kim and Kolar for the case of pseudoconvex models which are sums of squares of polynomials, we study the Lie algebra of real-analytic infinitesimal automorphisms of a model hypersurface given by \begin{equation} M_0= \{(z,w) \in \mathbb C^{3} \times \mathbb C \ | \ \Im w= P\bar Q + Q\bar P + R\bar R \}, \end{equation} where and are homogeneous polynomials. In particular, we classify with respect to the description of its nilpotent rotations when and are monomials. We also give an example of a model for which the real dimension of its generalized (exotic) rotations is
Keywords
Cite
@article{arxiv.2305.07757,
title = {Characterization of real-analytic infinitesimal CR automorphisms for a class of hypersurfaces in $\Bbb C^4.$},
author = {Cyril Julien and Francine Meylan},
journal= {arXiv preprint arXiv:2305.07757},
year = {2023}
}