Infinitesimal CR automorphisms and stability groups of nonminimal infinite type models in $\mathbb C^2$

TL;DR

This paper characterizes the infinitesimal CR automorphisms and stability groups of nonminimal, infinite type real hypersurfaces in complex two-dimensional space, advancing understanding of their symmetry structures.

Contribution

It provides a detailed analysis of the automorphism groups for a class of nonminimal, infinite type hypersurfaces in a7^2, a topic not fully explored before.

Findings

Explicit descriptions of infinitesimal CR automorphisms.

Classification of stability groups for the given hypersurfaces.

Insights into the symmetry properties of nonminimal infinite type models.

Abstract

We determine infinitesimal $\mathrm{CR}$ automorphisms and stability groups of real hypersurfaces in $\mathbb C^2$ in the case when the hypersurface is nonminimal and of infinite type at the reference point.