| Title:
|
The complex geometry of an integrable system (English) |
| Author:
|
Lesfari, Ahmed |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
39 |
| Issue:
|
4 |
| Year:
|
2003 |
| Pages:
|
257-270 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, a finite dimensional algebraic completely integrable system is considered. We show that the intersection of levels of integrals completes into an abelian surface (a two dimensional complex algebraic torus) of polarization $\left( 2,8\right) $ and that the flow of the system can be linearized on it. (English) |
| Keyword:
|
integrable systems |
| Keyword:
|
curves |
| Keyword:
|
abelian varieties |
| MSC:
|
14H70 |
| MSC:
|
37J35 |
| MSC:
|
70G55 |
| MSC:
|
70H06 |
| idZBL:
|
Zbl 1110.70022 |
| idMR:
|
MR2028736 |
| . |
| Date available:
|
2008-06-06T22:42:04Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107873 |
| . |
| Reference:
|
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| Reference:
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