| Title:
|
On local geometry of finite multitype hypersurfaces (English) |
| Author:
|
Kolář, Martin |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
43 |
| Issue:
|
5 |
| Year:
|
2007 |
| Pages:
|
459-466 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper studies local geometry of hypersurfaces of finite multitype. Catlin’s definition of multitype is applied to a general smooth hypersurface in $\mathbb C^{n+1}$. We prove biholomorphic equivalence of models in dimension three and describe all biholomorphisms between such models. A finite constructive algorithm for computing multitype is described. Analogous results for decoupled hypersurfaces are given. (English) |
| Keyword:
|
finite type |
| Keyword:
|
Catlin’s multitype |
| Keyword:
|
model hypersurfaces |
| Keyword:
|
biholomorphic equivalence |
| Keyword:
|
decoupled domains |
| MSC:
|
32V15 |
| MSC:
|
32V35 |
| MSC:
|
32V40 |
| MSC:
|
32Vxx |
| idZBL:
|
Zbl 1199.32042 |
| idMR:
|
MR2381788 |
| . |
| Date available:
|
2008-06-06T22:52:11Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108084 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
