A classification of two dimensional integrable mappings and rational elliptic surfaces
| Title: | A classification of two dimensional integrable mappings and rational elliptic surfaces |
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| Authors: | Carstea, A. S., Takenawa, T. |
| Publication Year: | 2010 |
| Collection: | Mathematics Nonlinear Sciences |
| Subject Terms: | Mathematics - Dynamical Systems, Mathematics - Algebraic Geometry, Nonlinear Sciences - Exactly Solvable and Integrable Systems, 14H70 |
| More Details: | We classify two dimensional integrable mappings by investigating the actions on the fiber space of rational elliptic surfaces. While the QRT mappings can be restricted on each fiber, there exist several classes of integrable mappings which exchange fibers. We also show an equivalent condition when a generalized Halphen surface becomes a Halphen surface of index m. Comment: 22 pages, 6 figures |
| Document Type: | Working Paper |
| Access URL: | http://arxiv.org/abs/1005.3586 |
| Accession Number: | edsarx.1005.3586 |
| Database: | arXiv |
| Description not available. |