On Chern-Moser normal forms of strongly pseudoconvex hypersurfaces with high-dimensional stability group
| dc.creator | Isaev, A. V. | |
| dc.date | 2007-10-12 | |
| dc.date.accessioned | 2026-07-07T08:35:57Z | |
| dc.date.available | 2026-07-07T08:35:57Z | |
| dc.description | 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 $d_0(M)\ge n^2-2n+2$. | |
| dc.identifier | https://arxiv.org/abs/0710.2388 | |
| dc.identifier | http://arxiv.org/abs/0710.2388 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139911 | |
| dc.subject | Complex Variables | |
| dc.subject | 32V40; 32C05 | |
| dc.title | On Chern-Moser normal forms of strongly pseudoconvex hypersurfaces with high-dimensional stability group | |
| dc.type | text |