Invariant volume form for 3D QRT maps
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911207632404480 |
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| author | Alonso, Jaume Suris, Yuri B. |
| author_facet | Alonso, Jaume Suris, Yuri B. |
| contents | Recently, we proposed a three-dimensional generalization of QRT maps. These novel maps can be associated with pairs of pencils of quadrics in $\mathbb P^3$. By construction, these maps have two rational integrals (parameters of both pencils). In the present paper, we find an invariant volume form for these maps, thus finally establishing their integrability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_11468 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Invariant volume form for 3D QRT maps Alonso, Jaume Suris, Yuri B. Exactly Solvable and Integrable Systems Mathematical Physics Recently, we proposed a three-dimensional generalization of QRT maps. These novel maps can be associated with pairs of pencils of quadrics in $\mathbb P^3$. By construction, these maps have two rational integrals (parameters of both pencils). In the present paper, we find an invariant volume form for these maps, thus finally establishing their integrability. |
| title | Invariant volume form for 3D QRT maps |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics |
| url | https://arxiv.org/abs/2510.11468 |