QRT Map on a Bielliptic Surface
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912081127669760 |
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| author | Joshi, Nalini Nijhoff, Frank W. Steel, Allan |
| author_facet | Joshi, Nalini Nijhoff, Frank W. Steel, Allan |
| contents | The family of mappings of the plane possessing a biquadratic invariant, which is known collectively as QRT maps, is composed of two involutions, one preserving a vertical shift and the other preserving a horizontal shift in the plane. In this paper, we extend the map by replacing each shift by the group operation on each of two families of elliptic curves, whose product forms a bielliptic surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_14327 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | QRT Map on a Bielliptic Surface Joshi, Nalini Nijhoff, Frank W. Steel, Allan Exactly Solvable and Integrable Systems Mathematical Physics Classical Analysis and ODEs Dynamical Systems 37J70, 14H70 The family of mappings of the plane possessing a biquadratic invariant, which is known collectively as QRT maps, is composed of two involutions, one preserving a vertical shift and the other preserving a horizontal shift in the plane. In this paper, we extend the map by replacing each shift by the group operation on each of two families of elliptic curves, whose product forms a bielliptic surface. |
| title | QRT Map on a Bielliptic Surface |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics Classical Analysis and ODEs Dynamical Systems 37J70, 14H70 |
| url | https://arxiv.org/abs/2410.14327 |