Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Chern-Moser normal forms of strongly pseudoconvex hypersurfaces with
  high-dimensional stability group   We explicitly describe germs of strongly pseudoconvex non-spherical
real-analytic hypersurfaces $M$ at the origin in $\CC^{n+1}$ for which the
group of local CR-automorphisms preserving the origin has dimension $d_0(M)$
equal to either $n^2-2n+1$ with $n\ge 2$, or $n^2-2n$ with $n\ge 3$. The
description is given in terms of equations defining hypersurfaces near the
origin, written in the Chern-Moser normal form. These results are motivated by
the classification of locally homogeneous Levi non-degenerate hypersurfaces in
$\CC^3$ with $d_0(M)=1,2$ due to A. Loboda, and complement earlier joint work
by V. Ezhov and the author for the case $d_0(M)\ge n^2-2n+2$.

15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat