| Title:
|
Infinitesimal CR automorphisms for a class of polynomial models (English) |
| Author:
|
Kolář, Martin |
| Author:
|
Meylan, Francine |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
53 |
| Issue:
|
5 |
| Year:
|
2017 |
| Pages:
|
255-265 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we study infinitesimal CR automorphisms of Levi degenerate hypersurfaces. We illustrate the recent general results of [18], [17], [15], on a class of concrete examples, polynomial models in $\mathbb{C}^3$ of the form $\Im \; w = \Re (P(z) \overline{Q(z)}) $, where $P$ and $Q$ are weighted homogeneous holomorphic polynomials in $z = (z_1, z_2)$. We classify such models according to their Lie algebra of infinitesimal CR automorphisms. We also give the first example of a non monomial model which admits a nonlinear rigid automorphism. (English) |
| Keyword:
|
Levi degenerate hypersurfaces |
| Keyword:
|
finite multitype |
| Keyword:
|
polynomial models |
| Keyword:
|
infinitesimal CR automorphisms |
| MSC:
|
32V35 |
| MSC:
|
32V40 |
| idZBL:
|
Zbl 06861557 |
| idMR:
|
MR3746064 |
| DOI:
|
10.5817/AM2017-5-255 |
| . |
| Date available:
|
2018-01-03T14:47:33Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147020 |
| . |
| Reference:
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